97501431720 has 256 divisors, whose sum is σ = 365144371200. Its totient is φ = 20234280960.

The previous prime is 97501431707. The next prime is 97501431733. The reversal of 97501431720 is 2713410579.

It is an interprime number because it is at equal distance from previous prime (97501431707) and next prime (97501431733).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7746072 + ... + 7758648.

It is an arithmetic number, because the mean of its divisors is an integer number (1426345200).

Almost surely, 2^97501431720 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 97501431720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182572185600).

97501431720 is an abundant number, since it is smaller than the sum of its proper divisors (267642939480).

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

97501431720 is a wasteful number, since it uses less digits than its factorization.

97501431720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 97501431720 in words is "ninety-seven billion, five hundred one million, four hundred thirty-one thousand, seven hundred twenty".