90970416096000 has 2304 divisors, whose sum is σ = 368506788249600. Its totient is φ = 19863012556800.

The previous prime is 90970416095983. The next prime is 90970416096029. The reversal of 90970416096000 is 69061407909.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66547487317 + ... + 66547488683.

It is an arithmetic number, because the mean of its divisors is an integer number (159942182400).

Almost surely, 2^{90970416096000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90970416096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184253394124800).

90970416096000 is an abundant number, since it is smaller than the sum of its proper divisors (277536372153600).

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

90970416096000 is a wasteful number, since it uses less digits than its factorization.

90970416096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 90970416096000 in words is "ninety trillion, nine hundred seventy billion, four hundred sixteen million, ninety-six thousand".