91573960320 has 320 divisors, whose sum is σ = 337582333440. Its totient is φ = 23631575040.

The previous prime is 91573960273. The next prime is 91573960327. The reversal of 91573960320 is 2306937519.

91573960320 is a `hidden beast` number, since 9 + 1 + 5 + 7 + 39 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (91573960327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1578549 + ... + 1635531.

It is an arithmetic number, because the mean of its divisors is an integer number (1054944792).

Almost surely, 2^91573960320 is an apocalyptic number.

91573960320 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 91573960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168791166720).

91573960320 is an abundant number, since it is smaller than the sum of its proper divisors (246008373120).

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

91573960320 is a wasteful number, since it uses less digits than its factorization.

91573960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57045 (or 57024 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 91573960320 in words is "ninety-one billion, five hundred seventy-three million, nine hundred sixty thousand, three hundred twenty".