55938514444560 has 1920 divisors, whose sum is σ = 230390429068800. Its totient is φ = 12462302822400.

The previous prime is 55938514444537. The next prime is 55938514444583. The reversal of 55938514444560 is 6544441583955.

55938514444560 is a `hidden beast` number, since 5 + 5 + 9 + 38 + 5 + 144 + 4 + 456 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55938514444537) and next prime (55938514444583).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33041059074 + ... + 33041060766.

It is an arithmetic number, because the mean of its divisors is an integer number (119995015140).

Almost surely, 2^{55938514444560} 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 55938514444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115195214534400).

55938514444560 is an abundant number, since it is smaller than the sum of its proper divisors (174451914624240).

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

55938514444560 is a wasteful number, since it uses less digits than its factorization.

55938514444560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 55938514444560 in words is "fifty-five trillion, nine hundred thirty-eight billion, five hundred fourteen million, four hundred forty-four thousand, five hundred sixty".