55315935808560 has 560 divisors, whose sum is σ = 220660527447360. Its totient is φ = 12627129139200.

The previous prime is 55315935808547. The next prime is 55315935808571. The reversal of 55315935808560 is 6580853951355.

55315935808560 is a `hidden beast` number, since 5 + 5 + 3 + 15 + 9 + 3 + 58 + 0 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 313848460 + ... + 314024660.

It is an arithmetic number, because the mean of its divisors is an integer number (394036656156).

Almost surely, 2^{55315935808560} 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 55315935808560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110330263723680).

55315935808560 is an abundant number, since it is smaller than the sum of its proper divisors (165344591638800).

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

55315935808560 is a wasteful number, since it uses less digits than its factorization.

55315935808560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177008 (or 176987 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 63.

The spelling of 55315935808560 in words is "fifty-five trillion, three hundred fifteen billion, nine hundred thirty-five million, eight hundred eight thousand, five hundred sixty".