98136635520 has 2048 divisors, whose sum is σ = 451215360000. Its totient is φ = 17882726400.

The previous prime is 98136635461. The next prime is 98136635609. The reversal of 98136635520 is 2553663189.

It is a super-3 number, since 3×98136635520³ (a number of 34 digits) contains 333 as substring.

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 98136635520.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3165697905 + ... + 3165697935.

It is an arithmetic number, because the mean of its divisors is an integer number (220320000).

Almost surely, 2^98136635520 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 98136635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225607680000).

98136635520 is an abundant number, since it is smaller than the sum of its proper divisors (353078724480).

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

98136635520 is a wasteful number, since it uses less digits than its factorization.

98136635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 98136635520 in words is "ninety-eight billion, one hundred thirty-six million, six hundred thirty-five thousand, five hundred twenty".