91896578887680 has 2496 divisors, whose sum is σ = 420821361192960. Its totient is φ = 18726562824192.

The previous prime is 91896578887667. The next prime is 91896578887691. The reversal of 91896578887680 is 8678887569819.

It is a super-2 number, since 2×91896578887680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11252178957 + ... + 11252187123.

It is an arithmetic number, because the mean of its divisors is an integer number (168598301760).

Almost surely, 2^{91896578887680} is an apocalyptic number.

91896578887680 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 91896578887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210410680596480).

91896578887680 is an abundant number, since it is smaller than the sum of its proper divisors (328924782305280).

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

91896578887680 is a wasteful number, since it uses less digits than its factorization.

91896578887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 23410114560, while the sum is 90.

The spelling of 91896578887680 in words is "ninety-one trillion, eight hundred ninety-six billion, five hundred seventy-eight million, eight hundred eighty-seven thousand, six hundred eighty".