98725412160 has 168 divisors, whose sum is σ = 339862338816. Its totient is φ = 26304445440.

The previous prime is 98725412089. The next prime is 98725412167. The reversal of 98725412160 is 6121452789.

98725412160 is a `hidden beast` number, since 9 + 8 + 72 + 5 + 412 + 160 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98725412167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3531357 + ... + 3559203.

It is an arithmetic number, because the mean of its divisors is an integer number (2022990112).

Almost surely, 2^98725412160 is an apocalyptic number.

98725412160 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 98725412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169931169408).

98725412160 is an abundant number, since it is smaller than the sum of its proper divisors (241136926656).

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

98725412160 is a wasteful number, since it uses less digits than its factorization.

98725412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29101 (or 29088 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 98725412160 in words is "ninety-eight billion, seven hundred twenty-five million, four hundred twelve thousand, one hundred sixty".