53131364411400 has 2304 divisors, whose sum is σ = 214346995200000. Its totient is φ = 11656982937600.

The previous prime is 53131364411357. The next prime is 53131364411441. The reversal of 53131364411400 is 411446313135.

53131364411400 is a `hidden beast` number, since 5 + 3 + 1 + 3 + 1 + 3 + 644 + 1 + 1 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 140188296411 + ... + 140188296789.

It is an arithmetic number, because the mean of its divisors is an integer number (93032550000).

Almost surely, 2^{53131364411400} is an apocalyptic number.

53131364411400 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 53131364411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107173497600000).

53131364411400 is an abundant number, since it is smaller than the sum of its proper divisors (161215630788600).

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

53131364411400 is a wasteful number, since it uses less digits than its factorization.

53131364411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 53131364411400 in words is "fifty-three trillion, one hundred thirty-one billion, three hundred sixty-four million, four hundred eleven thousand, four hundred".