96938076468480 has 288 divisors, whose sum is σ = 341164810310016. Its totient is φ = 23306757046272.

The previous prime is 96938076468461. The next prime is 96938076468487. The reversal of 96938076468480 is 8486467083969.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 96938076468396 and 96938076468405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96938076468487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20433307 + ... + 24726426.

Almost surely, 2^{96938076468480} is an apocalyptic number.

It is an amenable number.

96938076468480 is an abundant number, since it is smaller than the sum of its proper divisors (244226733841536).

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

96938076468480 is a wasteful number, since it uses less digits than its factorization.

96938076468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45159813 (or 45159799 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 78.

The spelling of 96938076468480 in words is "ninety-six trillion, nine hundred thirty-eight billion, seventy-six million, four hundred sixty-eight thousand, four hundred eighty".