98082959040 has 672 divisors, whose sum is σ = 386377744896. Its totient is φ = 22605496320.

The previous prime is 98082959003. The next prime is 98082959053. The reversal of 98082959040 is 4095928089.

98082959040 is a `hidden beast` number, since 9 + 8 + 0 + 8 + 2 + 9 + 590 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165400984 + ... + 165401576.

Almost surely, 2^98082959040 is an apocalyptic number.

98082959040 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 98082959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193188872448).

98082959040 is an abundant number, since it is smaller than the sum of its proper divisors (288294785856).

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

98082959040 is a wasteful number, since it uses less digits than its factorization.

98082959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 98082959040 in words is "ninety-eight billion, eighty-two million, nine hundred fifty-nine thousand, forty".