91738003230720 has 2496 divisors, whose sum is σ = 421233527070720. Its totient is φ = 18594319564800.

The previous prime is 91738003230697. The next prime is 91738003230749. The reversal of 91738003230720 is 2703230083719.

91738003230720 is a `hidden beast` number, since 9 + 17 + 380 + 0 + 3 + 230 + 7 + 20 = 666.

It is a super-2 number, since 2×91738003230720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15711249561 + ... + 15711255399.

It is an arithmetic number, because the mean of its divisors is an integer number (168763432320).

Almost surely, 2^{91738003230720} is an apocalyptic number.

91738003230720 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 91738003230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210616763535360).

91738003230720 is an abundant number, since it is smaller than the sum of its proper divisors (329495523840000).

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

91738003230720 is a wasteful number, since it uses less digits than its factorization.

91738003230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 91738003230720 in words is "ninety-one trillion, seven hundred thirty-eight billion, three million, two hundred thirty thousand, seven hundred twenty".