98750966006880 has 2688 divisors, whose sum is σ = 417887092224000. Its totient is φ = 21775885516800.

The previous prime is 98750966006879. The next prime is 98750966006897. The reversal of 98750966006880 is 8860066905789.

It is a happy number.

98750966006880 is a `hidden beast` number, since 9 + 8 + 7 + 5 + 0 + 9 + 6 + 600 + 6 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 98750966006799 and 98750966006808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 112600873002 + ... + 112600873878.

It is an arithmetic number, because the mean of its divisors is an integer number (155463948000).

Almost surely, 2^{98750966006880} is an apocalyptic number.

98750966006880 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 98750966006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208943546112000).

98750966006880 is an abundant number, since it is smaller than the sum of its proper divisors (319136126217120).

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

98750966006880 is a wasteful number, since it uses less digits than its factorization.

98750966006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 98750966006880 in words is "ninety-eight trillion, seven hundred fifty billion, nine hundred sixty-six million, six thousand, eight hundred eighty".