91965098880 has 384 divisors, whose sum is σ = 332334213120. Its totient is φ = 23389876224.

The previous prime is 91965098873. The next prime is 91965098887. The reversal of 91965098880 is 8889056919.

It is an interprime number because it is at equal distance from previous prime (91965098873) and next prime (91965098887).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×91965098880³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91965098887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58687857 + ... + 58689423.

It is an arithmetic number, because the mean of its divisors is an integer number (865453680).

Almost surely, 2^91965098880 is an apocalyptic number.

91965098880 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 91965098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166167106560).

91965098880 is an abundant number, since it is smaller than the sum of its proper divisors (240369114240).

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

91965098880 is a wasteful number, since it uses less digits than its factorization.

91965098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 91965098880 in words is "ninety-one billion, nine hundred sixty-five million, ninety-eight thousand, eight hundred eighty".