97785472356000 has 1152 divisors, whose sum is σ = 420864771704832. Its totient is φ = 21176156160000.

The previous prime is 97785472355999. The next prime is 97785472356041. The reversal of 97785472356000 is 65327458779.

97785472356000 is a `hidden beast` number, since 9 + 7 + 7 + 8 + 5 + 47 + 23 + 560 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159281632 + ... + 159894368.

It is an arithmetic number, because the mean of its divisors is an integer number (365334003216).

Almost surely, 2^{97785472356000} is an apocalyptic number.

97785472356000 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 97785472356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210432385852416).

97785472356000 is an abundant number, since it is smaller than the sum of its proper divisors (323079299348832).

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

97785472356000 is a wasteful number, since it uses less digits than its factorization.

97785472356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612823 (or 612802 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 97785472356000 in words is "ninety-seven trillion, seven hundred eighty-five billion, four hundred seventy-two million, three hundred fifty-six thousand".