91168469280000 has 2160 divisors, whose sum is σ = 397426439329920. Its totient is φ = 19649323008000.

The previous prime is 91168469279977. The next prime is 91168469280013. The reversal of 91168469280000 is 8296486119.

91168469280000 is a `hidden beast` number, since 91 + 16 + 8 + 469 + 2 + 80 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12569756374 + ... + 12569763626.

It is an arithmetic number, because the mean of its divisors is an integer number (183993721912).

Almost surely, 2^{91168469280000} is an apocalyptic number.

91168469280000 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 91168469280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198713219664960).

91168469280000 is an abundant number, since it is smaller than the sum of its proper divisors (306257970049920).

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

91168469280000 is a wasteful number, since it uses less digits than its factorization.

91168469280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 91168469280000 in words is "ninety-one trillion, one hundred sixty-eight billion, four hundred sixty-nine million, two hundred eighty thousand".