91880104680 has 1280 divisors, whose sum is σ = 420467604480. Its totient is φ = 17430183936.

The previous prime is 91880104619. The next prime is 91880104681. The reversal of 91880104680 is 8640108819.

91880104680 is a `hidden beast` number, since 9 + 188 + 0 + 1 + 0 + 468 + 0 = 666.

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 (91880104681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 115282042 + ... + 115282838.

It is an arithmetic number, because the mean of its divisors is an integer number (328490316).

Almost surely, 2^91880104680 is an apocalyptic number.

91880104680 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 91880104680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210233802240).

91880104680 is an abundant number, since it is smaller than the sum of its proper divisors (328587499800).

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

91880104680 is a wasteful number, since it uses less digits than its factorization.

91880104680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 91880104680 in words is "ninety-one billion, eight hundred eighty million, one hundred four thousand, six hundred eighty".