93248520960 has 864 divisors, whose sum is σ = 374466032640. Its totient is φ = 19657752576.

The previous prime is 93248520947. The next prime is 93248520961. The reversal of 93248520960 is 6902584239.

It is a happy number.

It is a super-2 number, since 2×93248520960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93248520961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125502349 + ... + 125503091.

It is an arithmetic number, because the mean of its divisors is an integer number (433409760).

Almost surely, 2^93248520960 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 93248520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187233016320).

93248520960 is an abundant number, since it is smaller than the sum of its proper divisors (281217511680).

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

93248520960 is a wasteful number, since it uses less digits than its factorization.

93248520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 93248520960 in words is "ninety-three billion, two hundred forty-eight million, five hundred twenty thousand, nine hundred sixty".