10556904000 has 224 divisors, whose sum is σ = 35435267712. Its totient is φ = 2768640000.

The previous prime is 10556903999. The next prime is 10556904049. The reversal of 10556904000 is 40965501.

It is a super-2 number, since 2×10556904000² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1460395 + ... + 1467605.

Almost surely, 2^10556904000 is an apocalyptic number.

10556904000 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 10556904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717633856).

10556904000 is an abundant number, since it is smaller than the sum of its proper divisors (24878363712).

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

10556904000 is an equidigital number, since it uses as much as digits as its factorization.

10556904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10556904000 in words is "ten billion, five hundred fifty-six million, nine hundred four thousand".