91878282270720 has 4608 divisors, whose sum is σ = 403873247232000. Its totient is φ = 19779158016000.

The previous prime is 91878282270703. The next prime is 91878282270763. The reversal of 91878282270720 is 2707228287819.

91878282270720 is a `hidden beast` number, since 9 + 1 + 87 + 8 + 282 + 270 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 660994836411 + ... + 660994836549.

It is an arithmetic number, because the mean of its divisors is an integer number (87646104000).

Almost surely, 2^{91878282270720} is an apocalyptic number.

91878282270720 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 91878282270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201936623616000).

91878282270720 is an abundant number, since it is smaller than the sum of its proper divisors (311994964961280).

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

91878282270720 is a wasteful number, since it uses less digits than its factorization.

91878282270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 91878282270720 in words is "ninety-one trillion, eight hundred seventy-eight billion, two hundred eighty-two million, two hundred seventy thousand, seven hundred twenty".