91197787279104 has 1008 divisors, whose sum is σ = 314959787976960. Its totient is φ = 26071044341760.

The previous prime is 91197787279097. The next prime is 91197787279213. The reversal of 91197787279104 is 40197278779119.

91197787279104 is a `hidden beast` number, since 91 + 1 + 97 + 7 + 87 + 279 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3446745427 + ... + 3446771885.

It is an arithmetic number, because the mean of its divisors is an integer number (312460107120).

Almost surely, 2^{91197787279104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91197787279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157479893988480).

91197787279104 is an abundant number, since it is smaller than the sum of its proper divisors (223762000697856).

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

91197787279104 is a wasteful number, since it uses less digits than its factorization.

91197787279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26600 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 72.

The spelling of 91197787279104 in words is "ninety-one trillion, one hundred ninety-seven billion, seven hundred eighty-seven million, two hundred seventy-nine thousand, one hundred four".