91947000960 has 1152 divisors, whose sum is σ = 368658763200. Its totient is φ = 21821571072.

The previous prime is 91947000919. The next prime is 91947000967. The reversal of 91947000960 is 6900074919.

91947000960 is a `hidden beast` number, since 91 + 9 + 470 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91947000967) 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 143 ways as a sum of consecutive naturals, for example, 2485054062 + ... + 2485054098.

Almost surely, 2^91947000960 is an apocalyptic number.

91947000960 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 91947000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184329381600).

91947000960 is an abundant number, since it is smaller than the sum of its proper divisors (276711762240).

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

91947000960 is a wasteful number, since it uses less digits than its factorization.

91947000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 91947000960 in words is "ninety-one billion, nine hundred forty-seven million, nine hundred sixty", and thus it is an aban number.