91427581096704 has 432 divisors, whose sum is σ = 268982587325088. Its totient is φ = 29858734080000.

The previous prime is 91427581096673. The next prime is 91427581096727. The reversal of 91427581096704 is 40769018572419.

91427581096704 is a `hidden beast` number, since 9 + 1 + 42 + 7 + 581 + 0 + 9 + 6 + 7 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52514405274 + ... + 52514407014.

Almost surely, 2^{91427581096704} 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 91427581096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134491293662544).

91427581096704 is an abundant number, since it is smaller than the sum of its proper divisors (177555006228384).

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

91427581096704 is a wasteful number, since it uses less digits than its factorization.

91427581096704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 91427581096704 in words is "ninety-one trillion, four hundred twenty-seven billion, five hundred eighty-one million, ninety-six thousand, seven hundred four".