556102852032 has 448 divisors, whose sum is σ = 1852442726400. Its totient is φ = 143338291200.

The previous prime is 556102852031. The next prime is 556102852043. The reversal of 556102852032 is 230258201655.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556102852031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139407094 + ... + 139411082.

It is an arithmetic number, because the mean of its divisors is an integer number (4134916800).

Almost surely, 2^556102852032 is an apocalyptic number.

556102852032 is a gapful number since it is divisible by the number (52) 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 556102852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926221363200).

556102852032 is an abundant number, since it is smaller than the sum of its proper divisors (1296339874368).

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

556102852032 is a wasteful number, since it uses less digits than its factorization.

556102852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 556102852032 in words is "five hundred fifty-six billion, one hundred two million, eight hundred fifty-two thousand, thirty-two".