53315308136700 has 720 divisors, whose sum is σ = 186494438592000. Its totient is φ = 13131846282240.

The previous prime is 53315308136653. The next prime is 53315308136711. The reversal of 53315308136700 is 763180351335.

53315308136700 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 530 + 81 + 36 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×53315308136700² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3765464221 + ... + 3765478379.

It is an arithmetic number, because the mean of its divisors is an integer number (259020053600).

Almost surely, 2^{53315308136700} is an apocalyptic number.

53315308136700 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 53315308136700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93247219296000).

53315308136700 is an abundant number, since it is smaller than the sum of its proper divisors (133179130455300).

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

53315308136700 is a wasteful number, since it uses less digits than its factorization.

53315308136700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 53315308136700 in words is "fifty-three trillion, three hundred fifteen billion, three hundred eight million, one hundred thirty-six thousand, seven hundred".