56018668953600 has 840 divisors, whose sum is σ = 219727330638948. Its totient is φ = 14059516723200.

The previous prime is 56018668953517. The next prime is 56018668953661. The reversal of 56018668953600 is 635986681065.

56018668953600 is a `hidden beast` number, since 5 + 6 + 0 + 18 + 6 + 6 + 8 + 9 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 40870755864576 + 15147913089024 = 6393024^2 + 3892032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 281910280 + ... + 282108920.

Almost surely, 2^{56018668953600} is an apocalyptic number.

56018668953600 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 56018668953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109863665319474).

56018668953600 is an abundant number, since it is smaller than the sum of its proper divisors (163708661685348).

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

56018668953600 is a wasteful number, since it uses less digits than its factorization.

56018668953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198706 (or 198668 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 56018668953600 in words is "fifty-six trillion, eighteen billion, six hundred sixty-eight million, nine hundred fifty-three thousand, six hundred".