53201664000 has 768 divisors, whose sum is σ = 202378176000. Its totient is φ = 13779763200.

The previous prime is 53201663969. The next prime is 53201664023. The reversal of 53201664000 is 46610235.

53201664000 is a `hidden beast` number, since 5 + 3 + 2 + 0 + 16 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297215911 + ... + 297216089.

It is an arithmetic number, because the mean of its divisors is an integer number (263513250).

Almost surely, 2^53201664000 is an apocalyptic number.

53201664000 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 53201664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101189088000).

53201664000 is an abundant number, since it is smaller than the sum of its proper divisors (149176512000).

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

53201664000 is a wasteful number, since it uses less digits than its factorization.

53201664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 53201664000 in words is "fifty-three billion, two hundred one million, six hundred sixty-four thousand".