91267968000 has 1408 divisors, whose sum is σ = 370813427712. Its totient is φ = 19660800000.

The previous prime is 91267967993. The next prime is 91267968013. The reversal of 91267968000 is 86976219.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2226047980 + ... + 2226048020.

Almost surely, 2^91267968000 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 91267968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185406713856).

91267968000 is an abundant number, since it is smaller than the sum of its proper divisors (279545459712).

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

91267968000 is a wasteful number, since it uses less digits than its factorization.

91267968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 91267968000 in words is "ninety-one billion, two hundred sixty-seven million, nine hundred sixty-eight thousand".