55977370824960 has 3456 divisors, whose sum is σ = 241189749964800. Its totient is φ = 12297476505600.

The previous prime is 55977370824953. The next prime is 55977370825001. The reversal of 55977370824960 is 6942807377955.

55977370824960 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 7 + 370 + 8 + 249 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 139594440760 + ... + 139594441160.

It is an arithmetic number, because the mean of its divisors is an integer number (69788700800).

Almost surely, 2^{55977370824960} 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 55977370824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120594874982400).

55977370824960 is an abundant number, since it is smaller than the sum of its proper divisors (185212379139840).

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

55977370824960 is a wasteful number, since it uses less digits than its factorization.

55977370824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 55977370824960 in words is "fifty-five trillion, nine hundred seventy-seven billion, three hundred seventy million, eight hundred twenty-four thousand, nine hundred sixty".