98757116640 has 1728 divisors, whose sum is σ = 457765281792. Its totient is φ = 19160064000.

The previous prime is 98757116629. The next prime is 98757116681. The reversal of 98757116640 is 4661175789.

98757116640 is a `hidden beast` number, since 9 + 8 + 7 + 571 + 1 + 6 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 654020565 + ... + 654020715.

It is an arithmetic number, because the mean of its divisors is an integer number (264910464).

Almost surely, 2^98757116640 is an apocalyptic number.

98757116640 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 98757116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228882640896).

98757116640 is an abundant number, since it is smaller than the sum of its proper divisors (359008165152).

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

98757116640 is a wasteful number, since it uses less digits than its factorization.

98757116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 98757116640 in words is "ninety-eight billion, seven hundred fifty-seven million, one hundred sixteen thousand, six hundred forty".