10552626400 has 72 divisors (see below), whose sum is σ = 25958510424. Its totient is φ = 4188787200.

The previous prime is 10552626397. The next prime is 10552626419. The reversal of 10552626400 is 462625501.

10552626400 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 2×10552626400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54454 + ... + 155146.

It is an arithmetic number, because the mean of its divisors is an integer number (360534867).

Almost surely, 2^10552626400 is an apocalyptic number.

10552626400 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 10552626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979255212).

10552626400 is an abundant number, since it is smaller than the sum of its proper divisors (15405884024).

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

10552626400 is a wasteful number, since it uses less digits than its factorization.

10552626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100844 (or 100831 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 10552626400 in words is "ten billion, five hundred fifty-two million, six hundred twenty-six thousand, four hundred".