97906275900000 has 1728 divisors, whose sum is σ = 377071618996800. Its totient is φ = 24005836800000.

The previous prime is 97906275899989. The next prime is 97906275900047. The reversal of 97906275900000 is 957260979.

97906275900000 is a `hidden beast` number, since 9 + 7 + 9 + 0 + 627 + 5 + 9 + 0 + 0 + 0 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 97906275900000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 152739899680 + ... + 152739900320.

It is an arithmetic number, because the mean of its divisors is an integer number (218212742475).

Almost surely, 2^{97906275900000} is an apocalyptic number.

97906275900000 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 97906275900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188535809498400).

97906275900000 is an abundant number, since it is smaller than the sum of its proper divisors (279165343096800).

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

97906275900000 is a wasteful number, since it uses less digits than its factorization.

97906275900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 97906275900000 in words is "ninety-seven trillion, nine hundred six billion, two hundred seventy-five million, nine hundred thousand".