10722617400 has 384 divisors, whose sum is σ = 38655740160. Its totient is φ = 2429952000.

The previous prime is 10722617369. The next prime is 10722617401. The reversal of 10722617400 is 471622701.

10722617400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10722617400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10722617401) 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 95 ways as a sum of consecutive naturals, for example, 25469190 + ... + 25469610.

It is an arithmetic number, because the mean of its divisors is an integer number (100665990).

Almost surely, 2^10722617400 is an apocalyptic number.

10722617400 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 10722617400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327870080).

10722617400 is an abundant number, since it is smaller than the sum of its proper divisors (27933122760).

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

10722617400 is a wasteful number, since it uses less digits than its factorization.

10722617400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 10722617400 in words is "ten billion, seven hundred twenty-two million, six hundred seventeen thousand, four hundred".