53390638800 has 180 divisors, whose sum is σ = 185650727340. Its totient is φ = 14209044480.

The previous prime is 53390638793. The next prime is 53390638817. The reversal of 53390638800 is 883609335.

53390638800 is a `hidden beast` number, since 5 + 3 + 3 + 9 + 0 + 638 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4048013376 + 49342625424 = 63624^2 + 222132^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×53390638800² (a number of 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1817832 + ... + 1846968.

Almost surely, 2^53390638800 is an apocalyptic number.

53390638800 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 53390638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92825363670).

53390638800 is an abundant number, since it is smaller than the sum of its proper divisors (132260088540).

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

53390638800 is a wasteful number, since it uses less digits than its factorization.

53390638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29670 (or 29656 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 53390638800 in words is "fifty-three billion, three hundred ninety million, six hundred thirty-eight thousand, eight hundred".