96958321704000 has 448 divisors, whose sum is σ = 358530428805120. Its totient is φ = 25651958169600.

The previous prime is 96958321703989. The next prime is 96958321704017. The reversal of 96958321704000 is 40712385969.

96958321704000 is a `hidden beast` number, since 9 + 6 + 9 + 583 + 2 + 17 + 0 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×96958321704000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25664752 + ... + 29199248.

It is a 1-persistent number, because it is pandigital, but 2⋅96958321704000 = 193916643408000 is not.

Almost surely, 2^{96958321704000} is an apocalyptic number.

96958321704000 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 96958321704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179265214402560).

96958321704000 is an abundant number, since it is smaller than the sum of its proper divisors (261572107101120).

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

96958321704000 is a wasteful number, since it uses less digits than its factorization.

96958321704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534660 (or 3534634 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 96958321704000 in words is "ninety-six trillion, nine hundred fifty-eight billion, three hundred twenty-one million, seven hundred four thousand".