98957985280 has 480 divisors, whose sum is σ = 311604654240. Its totient is φ = 29768417280.

The previous prime is 98957985271. The next prime is 98957985283. The reversal of 98957985280 is 8258975989.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98957985283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40014124 + ... + 40016596.

It is an arithmetic number, because the mean of its divisors is an integer number (649176363).

Almost surely, 2^98957985280 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 98957985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155802327120).

98957985280 is an abundant number, since it is smaller than the sum of its proper divisors (212646668960).

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

98957985280 is a wasteful number, since it uses less digits than its factorization.

98957985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 70.

The spelling of 98957985280 in words is "ninety-eight billion, nine hundred fifty-seven million, nine hundred eighty-five thousand, two hundred eighty".