97901166720 has 256 divisors, whose sum is σ = 377619667200. Its totient is φ = 21061042176.

The previous prime is 97901166679. The next prime is 97901166721. The reversal of 97901166720 is 2766110979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97901166720.

It is not an unprimeable number, because it can be changed into a prime (97901166721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14236 + ... + 442724.

It is an arithmetic number, because the mean of its divisors is an integer number (1475076825).

Almost surely, 2^97901166720 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 97901166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188809833600).

97901166720 is an abundant number, since it is smaller than the sum of its proper divisors (279718500480).

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

97901166720 is a wasteful number, since it uses less digits than its factorization.

97901166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428535 (or 428523 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 97901166720 in words is "ninety-seven billion, nine hundred one million, one hundred sixty-six thousand, seven hundred twenty".