91380175920 has 400 divisors, whose sum is σ = 347290986240. Its totient is φ = 22084876800.

The previous prime is 91380175897. The next prime is 91380175927. The reversal of 91380175920 is 2957108319.

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 (91380175927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25587735 + ... + 25591305.

Almost surely, 2^91380175920 is an apocalyptic number.

91380175920 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 91380175920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173645493120).

91380175920 is an abundant number, since it is smaller than the sum of its proper divisors (255910810320).

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

91380175920 is a wasteful number, since it uses less digits than its factorization.

91380175920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 91380175920 in words is "ninety-one billion, three hundred eighty million, one hundred seventy-five thousand, nine hundred twenty".