10982972700 has 648 divisors, whose sum is σ = 42234296832. Its totient is φ = 2377589760.

The previous prime is 10982972699. The next prime is 10982972701. The reversal of 10982972700 is 727928901.

10982972700 is a `hidden beast` number, since 1 + 0 + 98 + 297 + 270 + 0 = 666.

10982972700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10982972699) and next prime (10982972701).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10982972701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86480037 + ... + 86480163.

It is an arithmetic number, because the mean of its divisors is an integer number (65176384).

Almost surely, 2^10982972700 is an apocalyptic number.

10982972700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10982972700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117148416).

10982972700 is an abundant number, since it is smaller than the sum of its proper divisors (31251324132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10982972700 is a wasteful number, since it uses less digits than its factorization.

10982972700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10982972700 in words is "ten billion, nine hundred eighty-two million, nine hundred seventy-two thousand, seven hundred".