93250742130 has 672 divisors, whose sum is σ = 323291352384. Its totient is φ = 19176175872.

The previous prime is 93250742113. The next prime is 93250742147. The reversal of 93250742130 is 3124705239.

It is an interprime number because it is at equal distance from previous prime (93250742113) and next prime (93250742147).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 199680157 + ... + 199680623.

It is an arithmetic number, because the mean of its divisors is an integer number (481088322).

Almost surely, 2^93250742130 is an apocalyptic number.

93250742130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93250742130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161645676192).

93250742130 is an abundant number, since it is smaller than the sum of its proper divisors (230040610254).

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

93250742130 is a wasteful number, since it uses less digits than its factorization.

93250742130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 93250742130 in words is "ninety-three billion, two hundred fifty million, seven hundred forty-two thousand, one hundred thirty".