91892957760 has 784 divisors, whose sum is σ = 344766546432. Its totient is φ = 23290675200.

The previous prime is 91892957731. The next prime is 91892957801. The reversal of 91892957760 is 6775929819.

It is a super-2 number, since 2×91892957760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 701472895 + ... + 701473025.

It is an arithmetic number, because the mean of its divisors is an integer number (439753248).

Almost surely, 2^91892957760 is an apocalyptic number.

91892957760 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 91892957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172383273216).

91892957760 is an abundant number, since it is smaller than the sum of its proper divisors (252873588672).

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

91892957760 is a wasteful number, since it uses less digits than its factorization.

91892957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 91892957760 in words is "ninety-one billion, eight hundred ninety-two million, nine hundred fifty-seven thousand, seven hundred sixty".