98925817985280 has 4320 divisors, whose sum is σ = 458365751230464. Its totient is φ = 20145438720000.

The previous prime is 98925817985233. The next prime is 98925817985303. The reversal of 98925817985280 is 8258971852989.

98925817985280 is a `hidden beast` number, since 9 + 8 + 9 + 2 + 5 + 81 + 7 + 9 + 8 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 98925817985280.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 85947712705 + ... + 85947713855.

Almost surely, 2^{98925817985280} is an apocalyptic number.

98925817985280 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 98925817985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229182875615232).

98925817985280 is an abundant number, since it is smaller than the sum of its proper divisors (359439933245184).

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

98925817985280 is a wasteful number, since it uses less digits than its factorization.

98925817985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 81.

The spelling of 98925817985280 in words is "ninety-eight trillion, nine hundred twenty-five billion, eight hundred seventeen million, nine hundred eighty-five thousand, two hundred eighty".