97998102720 has 1680 divisors, whose sum is σ = 443985822720. Its totient is φ = 20379340800.

The previous prime is 97998102703. The next prime is 97998102721. The reversal of 97998102720 is 2720189979.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97998102721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 748077055 + ... + 748077185.

Almost surely, 2^97998102720 is an apocalyptic number.

97998102720 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 97998102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221992911360).

97998102720 is an abundant number, since it is smaller than the sum of its proper divisors (345987720000).

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

97998102720 is a wasteful number, since it uses less digits than its factorization.

97998102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 97998102720 in words is "ninety-seven billion, nine hundred ninety-eight million, one hundred two thousand, seven hundred twenty".