10553634400 has 72 divisors (see below), whose sum is σ = 26186542704. Its totient is φ = 4152230400.

The previous prime is 10553634361. The next prime is 10553634401. The reversal of 10553634400 is 443635501.

It is a super-2 number, since 2×10553634400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553634401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59332 + ... + 156931.

It is an arithmetic number, because the mean of its divisors is an integer number (363701982).

Almost surely, 2^10553634400 is an apocalyptic number.

10553634400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10553634400 is an abundant number, since it is smaller than the sum of its proper divisors (15632908304).

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

10553634400 is a wasteful number, since it uses less digits than its factorization.

10553634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216344 (or 216331 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 10553634400 in words is "ten billion, five hundred fifty-three million, six hundred thirty-four thousand, four hundred".