96620461572096 has 1440 divisors, whose sum is σ = 356391247500288. Its totient is φ = 24495579463680.

The previous prime is 96620461572083. The next prime is 96620461572109. The reversal of 96620461572096 is 69027516402669.

96620461572096 is a `hidden beast` number, since 9 + 6 + 6 + 2 + 0 + 4 + 615 + 7 + 2 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (96620461572083) and next prime (96620461572109).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184742756091 + ... + 184742756613.

Almost surely, 2^{96620461572096} is an apocalyptic number.

96620461572096 is a gapful number since it is divisible by the number (96) 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 96620461572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178195623750144).

96620461572096 is an abundant number, since it is smaller than the sum of its proper divisors (259770785928192).

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

96620461572096 is a wasteful number, since it uses less digits than its factorization.

96620461572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 96620461572096 in words is "ninety-six trillion, six hundred twenty billion, four hundred sixty-one million, five hundred seventy-two thousand, ninety-six".