86498979840000 has 3840 divisors, whose sum is σ = 400631388917760. Its totient is φ = 18154782720000.

The previous prime is 86498979839861. The next prime is 86498979840037. The reversal of 86498979840000 is 4897989468.

86498979840000 is a `hidden beast` number, since 8 + 6 + 49 + 8 + 97 + 98 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 452874239905 + ... + 452874240095.

It is an arithmetic number, because the mean of its divisors is an integer number (104331090864).

Almost surely, 2^{86498979840000} is an apocalyptic number.

86498979840000 is a gapful number since it is divisible by the number (80) 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 86498979840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200315694458880).

86498979840000 is an abundant number, since it is smaller than the sum of its proper divisors (314132409077760).

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

86498979840000 is an frugal number, since it uses more digits than its factorization.

86498979840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 86498979840000 in words is "eighty-six trillion, four hundred ninety-eight billion, nine hundred seventy-nine million, eight hundred forty thousand".