98401995508320 has 960 divisors, whose sum is σ = 420516922484736. Its totient is φ = 21154601779200.

The previous prime is 98401995508309. The next prime is 98401995508343. The reversal of 98401995508320 is 2380559910489.

98401995508320 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 1 + 9 + 95 + 508 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2379655645 + ... + 2379696995.

Almost surely, 2^{98401995508320} is an apocalyptic number.

98401995508320 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 98401995508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210258461242368).

98401995508320 is an abundant number, since it is smaller than the sum of its proper divisors (322114926976416).

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

98401995508320 is a wasteful number, since it uses less digits than its factorization.

98401995508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42945 (or 42928 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 98401995508320 in words is "ninety-eight trillion, four hundred one billion, nine hundred ninety-five million, five hundred eight thousand, three hundred twenty".