98150307840 has 1152 divisors, whose sum is σ = 399236947200. Its totient is φ = 22083010560.

The previous prime is 98150307797. The next prime is 98150307859. The reversal of 98150307840 is 4870305189.

It is a tau number, because it is divible by the number of its divisors (1152).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242408921 + ... + 1242408999.

It is an arithmetic number, because the mean of its divisors is an integer number (346559850).

Almost surely, 2^98150307840 is an apocalyptic number.

98150307840 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 98150307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199618473600).

98150307840 is an abundant number, since it is smaller than the sum of its proper divisors (301086639360).

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

98150307840 is a wasteful number, since it uses less digits than its factorization.

98150307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

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

The spelling of 98150307840 in words is "ninety-eight billion, one hundred fifty million, three hundred seven thousand, eight hundred forty".