98619677675280 has 960 divisors, whose sum is σ = 356938304486400. Its totient is φ = 25286686064640.

The previous prime is 98619677675263. The next prime is 98619677675291. The reversal of 98619677675280 is 8257677691689.

98619677675280 is a `hidden beast` number, since 9 + 8 + 6 + 19 + 6 + 7 + 76 + 7 + 528 + 0 = 666.

98619677675280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×98619677675280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 98619677675280.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47665382086 + ... + 47665384154.

It is an arithmetic number, because the mean of its divisors is an integer number (371810733840).

Almost surely, 2^{98619677675280} is an apocalyptic number.

98619677675280 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 98619677675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178469152243200).

98619677675280 is an abundant number, since it is smaller than the sum of its proper divisors (258318626811120).

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

98619677675280 is a wasteful number, since it uses less digits than its factorization.

98619677675280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 81.

The spelling of 98619677675280 in words is "ninety-eight trillion, six hundred nineteen billion, six hundred seventy-seven million, six hundred seventy-five thousand, two hundred eighty".