96949939806720 has 9600 divisors, whose sum is σ = 517733468651520. Its totient is φ = 16769286144000.

The previous prime is 96949939806691. The next prime is 96949939806749. The reversal of 96949939806720 is 2760893994969.

96949939806720 is a `hidden beast` number, since 9 + 69 + 4 + 99 + 398 + 0 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (96949939806691) and next prime (96949939806749).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 96949939806720.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1589343275490 + ... + 1589343275550.

Almost surely, 2^{96949939806720} is an apocalyptic number.

96949939806720 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 96949939806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258866734325760).

96949939806720 is an abundant number, since it is smaller than the sum of its proper divisors (420783528844800).

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

96949939806720 is a wasteful number, since it uses less digits than its factorization.

96949939806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2857026816, while the sum is 81.

The spelling of 96949939806720 in words is "ninety-six trillion, nine hundred forty-nine billion, nine hundred thirty-nine million, eight hundred six thousand, seven hundred twenty".