98751350880 has 1728 divisors, whose sum is σ = 459271088640. Its totient is φ = 19564167168.

The previous prime is 98751350851. The next prime is 98751350917. The reversal of 98751350880 is 8805315789.

98751350880 is a `hidden beast` number, since 9 + 8 + 7 + 51 + 3 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 873905704 + ... + 873905816.

It is an arithmetic number, because the mean of its divisors is an integer number (265781880).

Almost surely, 2^98751350880 is an apocalyptic number.

98751350880 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 98751350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229635544320).

98751350880 is an abundant number, since it is smaller than the sum of its proper divisors (360519737760).

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

98751350880 is a wasteful number, since it uses less digits than its factorization.

98751350880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 98751350880 in words is "ninety-eight billion, seven hundred fifty-one million, three hundred fifty thousand, eight hundred eighty".