53135308800 has 1728 divisors, whose sum is σ = 249421536000. Its totient is φ = 10829168640.

The previous prime is 53135308747. The next prime is 53135308823. The reversal of 53135308800 is 880353135.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×53135308800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2796595191 + ... + 2796595209.

Almost surely, 2^53135308800 is an apocalyptic number.

53135308800 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 53135308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124710768000).

53135308800 is an abundant number, since it is smaller than the sum of its proper divisors (196286227200).

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

53135308800 is a wasteful number, since it uses less digits than its factorization.

53135308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 53135308800 in words is "fifty-three billion, one hundred thirty-five million, three hundred eight thousand, eight hundred".