53109190368000 has 2592 divisors, whose sum is σ = 216543172390272. Its totient is φ = 12422430720000.

The previous prime is 53109190367969. The next prime is 53109190368011. The reversal of 53109190368000 is 86309190135.

53109190368000 is a `hidden beast` number, since 531 + 0 + 9 + 1 + 9 + 0 + 36 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×53109190368000² (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 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, 318019103917 + ... + 318019104083.

Almost surely, 2^{53109190368000} is an apocalyptic number.

53109190368000 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 53109190368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108271586195136).

53109190368000 is an abundant number, since it is smaller than the sum of its proper divisors (163433982022272).

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

53109190368000 is a wasteful number, since it uses less digits than its factorization.

53109190368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 53109190368000 in words is "fifty-three trillion, one hundred nine billion, one hundred ninety million, three hundred sixty-eight thousand".