55762134624 has 288 divisors, whose sum is σ = 186873051456. Its totient is φ = 15440855040.

The previous prime is 55762134577. The next prime is 55762134661. The reversal of 55762134624 is 42643126755.

55762134624 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 2 + 13 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 55762134624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12974844 + ... + 12979140.

It is an arithmetic number, because the mean of its divisors is an integer number (648864762).

Almost surely, 2^55762134624 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 55762134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93436525728).

55762134624 is an abundant number, since it is smaller than the sum of its proper divisors (131110916832).

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

55762134624 is a wasteful number, since it uses less digits than its factorization.

55762134624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4507 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 55762134624 in words is "fifty-five billion, seven hundred sixty-two million, one hundred thirty-four thousand, six hundred twenty-four".