98442959247360 has 6912 divisors, whose sum is σ = 485515150848000. Its totient is φ = 18781600481280.

The previous prime is 98442959247349. The next prime is 98442959247377. The reversal of 98442959247360 is 6374295924489.

98442959247360 is a `hidden beast` number, since 9 + 8 + 4 + 4 + 2 + 9 + 5 + 92 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1348533688284 + ... + 1348533688356.

It is an arithmetic number, because the mean of its divisors is an integer number (70242354000).

Almost surely, 2^{98442959247360} is an apocalyptic number.

98442959247360 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 98442959247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242757575424000).

98442959247360 is an abundant number, since it is smaller than the sum of its proper divisors (387072191600640).

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

98442959247360 is a wasteful number, since it uses less digits than its factorization.

98442959247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 98442959247360 in words is "ninety-eight trillion, four hundred forty-two billion, nine hundred fifty-nine million, two hundred forty-seven thousand, three hundred sixty".