93081713760 has 576 divisors, whose sum is σ = 379568996352. Its totient is φ = 21100455936.

The previous prime is 93081713749. The next prime is 93081713797. The reversal of 93081713760 is 6731718039.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34562974 + ... + 34565666.

It is an arithmetic number, because the mean of its divisors is an integer number (658973952).

Almost surely, 2^93081713760 is an apocalyptic number.

93081713760 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 93081713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189784498176).

93081713760 is an abundant number, since it is smaller than the sum of its proper divisors (286487282592).

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

93081713760 is a wasteful number, since it uses less digits than its factorization.

93081713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 93081713760 in words is "ninety-three billion, eighty-one million, seven hundred thirteen thousand, seven hundred sixty".