98025800780160 has 3072 divisors, whose sum is σ = 417127802112000. Its totient is φ = 21934441267200.

The previous prime is 98025800780143. The next prime is 98025800780207. The reversal of 98025800780160 is 6108700852089.

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 = 98025800780097 and 98025800780106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 131932436749 + ... + 131932437491.

It is an arithmetic number, because the mean of its divisors is an integer number (135783789750).

Almost surely, 2^{98025800780160} is an apocalyptic number.

98025800780160 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 98025800780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208563901056000).

98025800780160 is an abundant number, since it is smaller than the sum of its proper divisors (319102001331840).

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

98025800780160 is a wasteful number, since it uses less digits than its factorization.

98025800780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 98025800780160 in words is "ninety-eight trillion, twenty-five billion, eight hundred million, seven hundred eighty thousand, one hundred sixty".