98679919752 has 36 divisors (see below), whose sum is σ = 267265335285. Its totient is φ = 32892418080.

The previous prime is 98679919733. The next prime is 98679919759. The reversal of 98679919752 is 25791997689.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 77403029796 + 21276889956 = 278214^2 + 145866^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=222126.

It is a super-2 number, since 2×98679919752² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (98679919759) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2647002 + ... + 2684022.

Almost surely, 2^98679919752 is an apocalyptic number.

It is an amenable number.

98679919752 is an abundant number, since it is smaller than the sum of its proper divisors (168585415533).

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

98679919752 is an frugal number, since it uses more digits than its factorization.

98679919752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74054 (or 37026 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 72.

Multiplying 98679919752 by its sum of digits (72), we get a square (7104954222144 = 2665512²).

98679919752 divided by its sum of digits (72) gives a square (1370554441 = 37021²).

The spelling of 98679919752 in words is "ninety-eight billion, six hundred seventy-nine million, nine hundred nineteen thousand, seven hundred fifty-two".