53913600000 has 900 divisors, whose sum is σ = 216811505988. Its totient is φ = 13271040000.

The previous prime is 53913599989. The next prime is 53913600001. The reversal of 53913600000 is 631935.

53913600000 is a `hidden beast` number, since 53 + 9 + 1 + 3 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50982027264 + 2931572736 = 225792^2 + 54144^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53913600001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4147199994 + ... + 4147200006.

Almost surely, 2^53913600000 is an apocalyptic number.

53913600000 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 53913600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108405752994).

53913600000 is an abundant number, since it is smaller than the sum of its proper divisors (162897905988).

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

53913600000 is an frugal number, since it uses more digits than its factorization.

53913600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 53913600000 in words is "fifty-three billion, nine hundred thirteen million, six hundred thousand".