55706517504 has 504 divisors, whose sum is σ = 185666449752. Its totient is φ = 16562257920.

The previous prime is 55706517481. The next prime is 55706517527. The reversal of 55706517504 is 40571560755.

55706517504 is a `hidden beast` number, since 5 + 5 + 70 + 65 + 17 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (55706517481) and next prime (55706517527).

It is a self number, because there is not a number n which added to its sum of digits gives 55706517504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1051066342 + ... + 1051066394.

It is an arithmetic number, because the mean of its divisors is an integer number (368385813).

Almost surely, 2^55706517504 is an apocalyptic number.

55706517504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55706517504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92833224876).

55706517504 is an abundant number, since it is smaller than the sum of its proper divisors (129959932248).

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

55706517504 is an frugal number, since it uses more digits than its factorization.

55706517504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 55706517504 in words is "fifty-five billion, seven hundred six million, five hundred seventeen thousand, five hundred four".