98949642570720 has 288 divisors, whose sum is σ = 352359851118912. Its totient is φ = 25238392160256.

The previous prime is 98949642570707. The next prime is 98949642570749. The reversal of 98949642570720 is 2707524694989.

98949642570720 is a `hidden beast` number, since 9 + 8 + 9 + 4 + 9 + 6 + 42 + 570 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526567752 + ... + 1526632568.

It is an arithmetic number, because the mean of its divisors is an integer number (1223471705274).

Almost surely, 2^{98949642570720} is an apocalyptic number.

98949642570720 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 98949642570720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176179925559456).

98949642570720 is an abundant number, since it is smaller than the sum of its proper divisors (253410208548192).

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

98949642570720 is a wasteful number, since it uses less digits than its factorization.

98949642570720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110954 (or 110943 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 98949642570720 in words is "ninety-eight trillion, nine hundred forty-nine billion, six hundred forty-two million, five hundred seventy thousand, seven hundred twenty".