97457283072000 has 1632 divisors, whose sum is σ = 382769262720000. Its totient is φ = 23761885593600.

The previous prime is 97457283071983. The next prime is 97457283072011. The reversal of 97457283072000 is 27038275479.

97457283072000 is a `hidden beast` number, since 97 + 45 + 7 + 2 + 8 + 307 + 200 + 0 = 666.

97457283072000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 40624126801 + ... + 40624129199.

Almost surely, 2^{97457283072000} is an apocalyptic number.

97457283072000 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 97457283072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191384631360000).

97457283072000 is an abundant number, since it is smaller than the sum of its proper divisors (285311979648000).

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

97457283072000 is a wasteful number, since it uses less digits than its factorization.

97457283072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 97457283072000 in words is "ninety-seven trillion, four hundred fifty-seven billion, two hundred eighty-three million, seventy-two thousand".