10972962000 has 1920 divisors, whose sum is σ = 55571443200. Its totient is φ = 2032128000.

The previous prime is 10972961977. The next prime is 10972962037. The reversal of 10972962000 is 26927901.

10972962000 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 29 + 620 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 378377986 + ... + 378378014.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 2^10972962000 is an apocalyptic number.

10972962000 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 10972962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27785721600).

10972962000 is an abundant number, since it is smaller than the sum of its proper divisors (44598481200).

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

10972962000 is a wasteful number, since it uses less digits than its factorization.

10972962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10972962000 in words is "ten billion, nine hundred seventy-two million, nine hundred sixty-two thousand".