91593815040 has 1056 divisors, whose sum is σ = 405577186560. Its totient is φ = 19301400576.

The previous prime is 91593815039. The next prime is 91593815051. The reversal of 91593815040 is 4051839519.

91593815040 is a `hidden beast` number, since 9 + 1 + 593 + 8 + 1 + 50 + 4 + 0 = 666.

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, 113218156 + ... + 113218964.

Almost surely, 2^91593815040 is an apocalyptic number.

91593815040 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 91593815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202788593280).

91593815040 is an abundant number, since it is smaller than the sum of its proper divisors (313983371520).

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

91593815040 is a wasteful number, since it uses less digits than its factorization.

91593815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 91593815040 in words is "ninety-one billion, five hundred ninety-three million, eight hundred fifteen thousand, forty".