53684138990592 has 440 divisors, whose sum is σ = 176850360791280. Its totient is φ = 16085110947840.

The previous prime is 53684138990591. The next prime is 53684138990609. The reversal of 53684138990592 is 29509983148635.

It is a happy number.

53684138990592 is a `hidden beast` number, since 5 + 36 + 8 + 41 + 389 + 90 + 5 + 92 = 666.

It is a super-2 number, since 2×53684138990592² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 53684138990592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53684138990591) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80871618 + ... + 81532734.

It is an arithmetic number, because the mean of its divisors is an integer number (401932638162).

Almost surely, 2^{53684138990592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53684138990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88425180395640).

53684138990592 is an abundant number, since it is smaller than the sum of its proper divisors (123166221800688).

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

53684138990592 is a wasteful number, since it uses less digits than its factorization.

53684138990592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661249 (or 661222 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 53684138990592 in words is "fifty-three trillion, six hundred eighty-four billion, one hundred thirty-eight million, nine hundred ninety thousand, five hundred ninety-two".