91185416960 has 288 divisors, whose sum is σ = 245659889664. Its totient is φ = 32141312000.

The previous prime is 91185416957. The next prime is 91185416963. The reversal of 91185416960 is 6961458119.

It is an interprime number because it is at equal distance from previous prime (91185416957) and next prime (91185416963).

It is a junction number, because it is equal to n+sod(n) for n = 91185416899 and 91185416908.

It is not an unprimeable number, because it can be changed into a prime (91185416963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110260067 + ... + 110260893.

It is an arithmetic number, because the mean of its divisors is an integer number (852985728).

Almost surely, 2^91185416960 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 91185416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122829944832).

91185416960 is an abundant number, since it is smaller than the sum of its proper divisors (154474472704).

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

91185416960 is a wasteful number, since it uses less digits than its factorization.

91185416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 50.

The spelling of 91185416960 in words is "ninety-one billion, one hundred eighty-five million, four hundred sixteen thousand, nine hundred sixty".