93117587040 has 480 divisors, whose sum is σ = 356086795680. Its totient is φ = 22824861696.

The previous prime is 93117587039. The next prime is 93117587063. The reversal of 93117587040 is 4078571139.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 9468846 + ... + 9478674.

It is an arithmetic number, because the mean of its divisors is an integer number (741847491).

Almost surely, 2^93117587040 is an apocalyptic number.

93117587040 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 93117587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178043397840).

93117587040 is an abundant number, since it is smaller than the sum of its proper divisors (262969208640).

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

93117587040 is a wasteful number, since it uses less digits than its factorization.

93117587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 93117587040 in words is "ninety-three billion, one hundred seventeen million, five hundred eighty-seven thousand, forty".