53972354620800 has 2304 divisors, whose sum is σ = 257523499584000. Its totient is φ = 10423871078400.

The previous prime is 53972354620783. The next prime is 53972354620859. The reversal of 53972354620800 is 802645327935.

53972354620800 is a `hidden beast` number, since 5 + 3 + 9 + 7 + 2 + 3 + 5 + 4 + 620 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×53972354620800² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 2233111116 + ... + 2233135284.

It is an arithmetic number, because the mean of its divisors is an integer number (111772352250).

Almost surely, 2^{53972354620800} is an apocalyptic number.

53972354620800 is a gapful number since it is divisible by the number (50) 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 53972354620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128761749792000).

53972354620800 is an abundant number, since it is smaller than the sum of its proper divisors (203551144963200).

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

53972354620800 is a wasteful number, since it uses less digits than its factorization.

53972354620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24289 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 53972354620800 in words is "fifty-three trillion, nine hundred seventy-two billion, three hundred fifty-four million, six hundred twenty thousand, eight hundred".