53106520320 has 1152 divisors, whose sum is σ = 234880128000. Its totient is φ = 11083972608.

The previous prime is 53106520307. The next prime is 53106520331. The reversal of 53106520320 is 2302560135.

53106520320 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 652 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152167506 + ... + 152167854.

It is an arithmetic number, because the mean of its divisors is an integer number (203889000).

Almost surely, 2^53106520320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53106520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064000).

53106520320 is an abundant number, since it is smaller than the sum of its proper divisors (181773607680).

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

53106520320 is a wasteful number, since it uses less digits than its factorization.

53106520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 53106520320 in words is "fifty-three billion, one hundred six million, five hundred twenty thousand, three hundred twenty".