55905738624 has 512 divisors, whose sum is σ = 183874176000. Its totient is φ = 16849907712.

The previous prime is 55905738619. The next prime is 55905738631. The reversal of 55905738624 is 42683750955.

55905738624 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 5 + 7 + 3 + 8 + 624 = 666.

It is a super-2 number, since 2×55905738624² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122331804 + ... + 122332260.

It is an arithmetic number, because the mean of its divisors is an integer number (359129250).

Almost surely, 2^55905738624 is an apocalyptic number.

55905738624 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 55905738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91937088000).

55905738624 is an abundant number, since it is smaller than the sum of its proper divisors (127968437376).

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

55905738624 is an equidigital number, since it uses as much as digits as its factorization.

55905738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 55905738624 in words is "fifty-five billion, nine hundred five million, seven hundred thirty-eight thousand, six hundred twenty-four".