55752603678720 has 2304 divisors, whose sum is σ = 223476530135040. Its totient is φ = 13243436236800.

The previous prime is 55752603678659. The next prime is 55752603678767. The reversal of 55752603678720 is 2787630625755.

55752603678720 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 260 + 367 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168436868955 + ... + 168436869285.

It is an arithmetic number, because the mean of its divisors is an integer number (96995021760).

Almost surely, 2^{55752603678720} 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 55752603678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111738265067520).

55752603678720 is an abundant number, since it is smaller than the sum of its proper divisors (167723926456320).

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

55752603678720 is a wasteful number, since it uses less digits than its factorization.

55752603678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 55752603678720 in words is "fifty-five trillion, seven hundred fifty-two billion, six hundred three million, six hundred seventy-eight thousand, seven hundred twenty".