52951124129904 has 1280 divisors, whose sum is σ = 211505182801920. Its totient is φ = 12236313600000.

The previous prime is 52951124129881. The next prime is 52951124129923. The reversal of 52951124129904 is 40992142115925.

52951124129904 is a `hidden beast` number, since 5 + 2 + 9 + 511 + 24 + 12 + 9 + 90 + 4 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3364745524 + ... + 3364761260.

It is an arithmetic number, because the mean of its divisors is an integer number (165238424064).

Almost surely, 2^{52951124129904} is an apocalyptic number.

52951124129904 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 52951124129904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105752591400960).

52951124129904 is an abundant number, since it is smaller than the sum of its proper divisors (158554058672016).

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

52951124129904 is a wasteful number, since it uses less digits than its factorization.

52951124129904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16067 (or 16055 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 52951124129904 in words is "fifty-two trillion, nine hundred fifty-one billion, one hundred twenty-four million, one hundred twenty-nine thousand, nine hundred four".