97717955472000 has 3072 divisors, whose sum is σ = 401675297587200. Its totient is φ = 23514624000000.

The previous prime is 97717955471989. The next prime is 97717955472013. The reversal of 97717955472000 is 27455971779.

97717955472000 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 7 + 9 + 554 + 72 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162592271700 + ... + 162592272300.

It is an arithmetic number, because the mean of its divisors is an integer number (130753677600).

Almost surely, 2^{97717955472000} is an apocalyptic number.

97717955472000 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 97717955472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200837648793600).

97717955472000 is an abundant number, since it is smaller than the sum of its proper divisors (303957342115200).

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

97717955472000 is a wasteful number, since it uses less digits than its factorization.

97717955472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 38896200, while the sum is 63.

The spelling of 97717955472000 in words is "ninety-seven trillion, seven hundred seventeen billion, nine hundred fifty-five million, four hundred seventy-two thousand".