93125531520 has 768 divisors, whose sum is σ = 384622318080. Its totient is φ = 21091000320.

The previous prime is 93125531461. The next prime is 93125531539. The reversal of 93125531520 is 2513552139.

93125531520 is a `hidden beast` number, since 9 + 3 + 125 + 5 + 3 + 1 + 520 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 142611514 + ... + 142612166.

It is an arithmetic number, because the mean of its divisors is an integer number (500810310).

Almost surely, 2^93125531520 is an apocalyptic number.

93125531520 is a gapful number since it is divisible by the number (90) 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 93125531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192311159040).

93125531520 is an abundant number, since it is smaller than the sum of its proper divisors (291496786560).

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

93125531520 is a wasteful number, since it uses less digits than its factorization.

93125531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 93125531520 in words is "ninety-three billion, one hundred twenty-five million, five hundred thirty-one thousand, five hundred twenty".