556378324508160 has 2880 divisors, whose sum is σ = 2547490221619200. Its totient is φ = 110846892441600.

The previous prime is 556378324508131. The next prime is 556378324508233. The reversal of 556378324508160 is 61805423873655.

556378324508160 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 78 + 32 + 450 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41962307611 + ... + 41962320869.

It is an arithmetic number, because the mean of its divisors is an integer number (884545215840).

Almost surely, 2^{556378324508160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556378324508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273745110809600).

556378324508160 is an abundant number, since it is smaller than the sum of its proper divisors (1991111897111040).

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

556378324508160 is a wasteful number, since it uses less digits than its factorization.

556378324508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13453 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 556378324508160 in words is "five hundred fifty-six trillion, three hundred seventy-eight billion, three hundred twenty-four million, five hundred eight thousand, one hundred sixty".