55024431579936 has 3456 divisors, whose sum is σ = 226696325184000. Its totient is φ = 12917664055296.

The previous prime is 55024431579899. The next prime is 55024431579941. The reversal of 55024431579936 is 63997513442055.

55024431579936 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 443 + 157 + 9 + 9 + 36 = 666.

It is a super-3 number, since 3×55024431579936³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 618252040180 + ... + 618252040268.

It is an arithmetic number, because the mean of its divisors is an integer number (65595001500).

Almost surely, 2^{55024431579936} is an apocalyptic number.

55024431579936 is a gapful number since it is divisible by the number (56) 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 55024431579936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113348162592000).

55024431579936 is an abundant number, since it is smaller than the sum of its proper divisors (171671893604064).

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

55024431579936 is a wasteful number, since it uses less digits than its factorization.

55024431579936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 55024431579936 in words is "fifty-five trillion, twenty-four billion, four hundred thirty-one million, five hundred seventy-nine thousand, nine hundred thirty-six".