53251367607900 has 1728 divisors, whose sum is σ = 222765442099200. Its totient is φ = 10300450406400.

The previous prime is 53251367607839. The next prime is 53251367607931. The reversal of 53251367607900 is 970676315235.

53251367607900 is a `hidden beast` number, since 5 + 3 + 2 + 513 + 67 + 60 + 7 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×53251367607900² (a number of 28 digits) contains 22 as substring.

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, 46185053724 + ... + 46185054876.

It is an arithmetic number, because the mean of its divisors is an integer number (128915186400).

Almost surely, 2^{53251367607900} is an apocalyptic number.

53251367607900 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 53251367607900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111382721049600).

53251367607900 is an abundant number, since it is smaller than the sum of its proper divisors (169514074491300).

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

53251367607900 is a wasteful number, since it uses less digits than its factorization.

53251367607900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 53251367607900 in words is "fifty-three trillion, two hundred fifty-one billion, three hundred sixty-seven million, six hundred seven thousand, nine hundred".