10557636000 has 192 divisors, whose sum is σ = 35156249856. Its totient is φ = 2769024000.

The previous prime is 10557635989. The next prime is 10557636013. The reversal of 10557636000 is 63675501.

It is a super-2 number, since 2×10557636000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724789 + ... + 739211.

It is an arithmetic number, because the mean of its divisors is an integer number (183105468).

Almost surely, 2^10557636000 is an apocalyptic number.

10557636000 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 10557636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17578124928).

10557636000 is an abundant number, since it is smaller than the sum of its proper divisors (24598613856).

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

10557636000 is a wasteful number, since it uses less digits than its factorization.

10557636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14512 (or 14494 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 10557636000 in words is "ten billion, five hundred fifty-seven million, six hundred thirty-six thousand".