98542200096 has 288 divisors, whose sum is σ = 306026360640. Its totient is φ = 29973307392.

The previous prime is 98542200091. The next prime is 98542200101. The reversal of 98542200096 is 69000224589.

It is an interprime number because it is at equal distance from previous prime (98542200091) and next prime (98542200101).

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

It is not an unprimeable number, because it can be changed into a prime (98542200091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17173740 + ... + 17179476.

It is an arithmetic number, because the mean of its divisors is an integer number (1062591530).

Almost surely, 2^98542200096 is an apocalyptic number.

98542200096 is a gapful number since it is divisible by the number (96) 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 98542200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153013180320).

98542200096 is an abundant number, since it is smaller than the sum of its proper divisors (207484160544).

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

98542200096 is a wasteful number, since it uses less digits than its factorization.

98542200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 98542200096 in words is "ninety-eight billion, five hundred forty-two million, two hundred thousand, ninety-six".