55756431360 has 1344 divisors, whose sum is σ = 247314622464. Its totient is φ = 11324620800.

The previous prime is 55756431359. The next prime is 55756431439. The reversal of 55756431360 is 6313465755.

55756431360 is a `hidden beast` number, since 5 + 57 + 564 + 3 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1359912940 + ... + 1359912980.

It is an arithmetic number, because the mean of its divisors is an integer number (184013856).

Almost surely, 2^55756431360 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 55756431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123657311232).

55756431360 is an abundant number, since it is smaller than the sum of its proper divisors (191558191104).

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

55756431360 is a wasteful number, since it uses less digits than its factorization.

55756431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 55756431360 in words is "fifty-five billion, seven hundred fifty-six million, four hundred thirty-one thousand, three hundred sixty".