556155072000 has 960 divisors, whose sum is σ = 2266905408768. Its totient is φ = 134784000000.

The previous prime is 556155071999. The next prime is 556155072047. The reversal of 556155072000 is 270551655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×556155072000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171070375 + ... + 171073625.

Almost surely, 2^556155072000 is an apocalyptic number.

556155072000 is a gapful number since it is divisible by the number (50) 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 556155072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133452704384).

556155072000 is an abundant number, since it is smaller than the sum of its proper divisors (1710750336768).

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

556155072000 is an equidigital number, since it uses as much as digits as its factorization.

556155072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 556155072000 in words is "five hundred fifty-six billion, one hundred fifty-five million, seventy-two thousand".