98076165120 has 352 divisors, whose sum is σ = 353780553600. Its totient is φ = 25760858112.

The previous prime is 98076165073. The next prime is 98076165167. The reversal of 98076165120 is 2156167089.

98076165120 is a `hidden beast` number, since 9 + 8 + 0 + 7 + 616 + 5 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (98076165073) and next prime (98076165167).

It is a super-2 number, since 2×98076165120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9256786 + ... + 9267374.

Almost surely, 2^98076165120 is an apocalyptic number.

98076165120 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 98076165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176890276800).

98076165120 is an abundant number, since it is smaller than the sum of its proper divisors (255704388480).

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

98076165120 is a wasteful number, since it uses less digits than its factorization.

98076165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 98076165120 in words is "ninety-eight billion, seventy-six million, one hundred sixty-five thousand, one hundred twenty".