53117970318000 has 1280 divisors, whose sum is σ = 220426891776000. Its totient is φ = 11976259276800.

The previous prime is 53117970317983. The next prime is 53117970318011. The reversal of 53117970318000 is 81307971135.

53117970318000 is a `hidden beast` number, since 531 + 1 + 7 + 9 + 7 + 0 + 31 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×53117970318000² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34291781226 + ... + 34291782774.

It is an arithmetic number, because the mean of its divisors is an integer number (172208509200).

Almost surely, 2^{53117970318000} is an apocalyptic number.

53117970318000 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 53117970318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110213445888000).

53117970318000 is an abundant number, since it is smaller than the sum of its proper divisors (167308921458000).

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

53117970318000 is a wasteful number, since it uses less digits than its factorization.

53117970318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 53117970318000 in words is "fifty-three trillion, one hundred seventeen billion, nine hundred seventy million, three hundred eighteen thousand".