98760167125200 has 3840 divisors, whose sum is σ = 451366539264000. Its totient is φ = 20415570739200.

The previous prime is 98760167125187. The next prime is 98760167125211. The reversal of 98760167125200 is 252176106789.

98760167125200 is a `hidden beast` number, since 9 + 8 + 7 + 601 + 6 + 7 + 1 + 2 + 5 + 20 + 0 = 666.

It is a super-2 number, since 2×98760167125200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 180548751327 + ... + 180548751873.

It is an arithmetic number, because the mean of its divisors is an integer number (117543369600).

Almost surely, 2^{98760167125200} is an apocalyptic number.

98760167125200 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 98760167125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225683269632000).

98760167125200 is an abundant number, since it is smaller than the sum of its proper divisors (352606372138800).

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

98760167125200 is a wasteful number, since it uses less digits than its factorization.

98760167125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 98760167125200 in words is "ninety-eight trillion, seven hundred sixty billion, one hundred sixty-seven million, one hundred twenty-five thousand, two hundred".