98272085760 has 576 divisors, whose sum is σ = 370902604800. Its totient is φ = 24568676352.

The previous prime is 98272085687. The next prime is 98272085819. The reversal of 98272085760 is 6758027289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 98272085697 and 98272085706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67633194 + ... + 67634646.

Almost surely, 2^98272085760 is an apocalyptic number.

98272085760 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 98272085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185451302400).

98272085760 is an abundant number, since it is smaller than the sum of its proper divisors (272630519040).

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

98272085760 is a wasteful number, since it uses less digits than its factorization.

98272085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 98272085760 in words is "ninety-eight billion, two hundred seventy-two million, eighty-five thousand, seven hundred sixty".