98995434960 has 160 divisors (see below), whose sum is σ = 325387566720. Its totient is φ = 24811536384.

The previous prime is 98995434959. The next prime is 98995434961. The reversal of 98995434960 is 6943459989.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98995434959) and next prime (98995434961).

It is a super-2 number, since 2×98995434960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98995434891 and 98995434900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98995434961) 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, 2998704 + ... + 3031536.

It is an arithmetic number, because the mean of its divisors is an integer number (2033672292).

Almost surely, 2^98995434960 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 98995434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162693783360).

98995434960 is an abundant number, since it is smaller than the sum of its proper divisors (226392131760).

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

98995434960 is a wasteful number, since it uses less digits than its factorization.

98995434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33605 (or 33599 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 98995434960 in words is "ninety-eight billion, nine hundred ninety-five million, four hundred thirty-four thousand, nine hundred sixty".