98966127360 has 144 divisors (see below), whose sum is σ = 317335415040. Its totient is φ = 26285568000.

The previous prime is 98966127341. The next prime is 98966127383. The reversal of 98966127360 is 6372166989.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 98966127360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912501 + ... + 1015179.

It is an arithmetic number, because the mean of its divisors is an integer number (2203718160).

Almost surely, 2^98966127360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98966127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158667707520).

98966127360 is an abundant number, since it is smaller than the sum of its proper divisors (218369287680).

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

98966127360 is a wasteful number, since it uses less digits than its factorization.

98966127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102954 (or 102940 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

It can be divided in two parts, 9896 and 6127360, that added together give a triangular number (6137256 = T₃₅₀₃).

The spelling of 98966127360 in words is "ninety-eight billion, nine hundred sixty-six million, one hundred twenty-seven thousand, three hundred sixty".