91960000560 has 240 divisors, whose sum is σ = 315051085440. Its totient is φ = 24033484800.

The previous prime is 91960000553. The next prime is 91960000597. The reversal of 91960000560 is 6500006919.

91960000560 is a `hidden beast` number, since 9 + 1 + 96 + 0 + 0 + 0 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×91960000560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7786660 + ... + 7798460.

It is an arithmetic number, because the mean of its divisors is an integer number (1312712856).

Almost surely, 2^91960000560 is an apocalyptic number.

91960000560 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 91960000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157525542720).

91960000560 is an abundant number, since it is smaller than the sum of its proper divisors (223091084880).

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

91960000560 is a wasteful number, since it uses less digits than its factorization.

With its successor (91960000561) it forms an eRAP, since the sums of their prime factors are consecutive (12036 and 12037).

91960000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036 (or 12027 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 91960000560 in words is "ninety-one billion, nine hundred sixty million, five hundred sixty", and thus it is an aban number.