53086881600 has 420 divisors, whose sum is σ = 205413762400. Its totient is φ = 13410800640.

The previous prime is 53086881587. The next prime is 53086881611. The reversal of 53086881600 is 618868035.

53086881600 is a `hidden beast` number, since 5 + 30 + 8 + 6 + 8 + 8 + 1 + 600 = 666.

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 59 ways as a sum of consecutive naturals, for example, 2451621 + ... + 2473179.

Almost surely, 2^53086881600 is an apocalyptic number.

53086881600 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 53086881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102706881200).

53086881600 is an abundant number, since it is smaller than the sum of its proper divisors (152326880800).

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

53086881600 is a wasteful number, since it uses less digits than its factorization.

53086881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21612 (or 21588 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 53086881600 in words is "fifty-three billion, eighty-six million, eight hundred eighty-one thousand, six hundred".