91880728704000 has 880 divisors, whose sum is σ = 342648622492176. Its totient is φ = 24485068800000.

The previous prime is 91880728703999. The next prime is 91880728704077. The reversal of 91880728704000 is 40782708819.

It is a happy number.

91880728704000 is a `hidden beast` number, since 9 + 18 + 80 + 72 + 87 + 0 + 400 + 0 = 666.

91880728704000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15040497291264 + 76840231412736 = 3878208^2 + 8765856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30616702500 + ... + 30616705500.

Almost surely, 2^{91880728704000} is an apocalyptic number.

91880728704000 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 91880728704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171324311246088).

91880728704000 is an abundant number, since it is smaller than the sum of its proper divisors (250767893788176).

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

91880728704000 is a wasteful number, since it uses less digits than its factorization.

91880728704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6001 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 91880728704000 in words is "ninety-one trillion, eight hundred eighty billion, seven hundred twenty-eight million, seven hundred four thousand".