86454847177920 has 4480 divisors, whose sum is σ = 378814439646720. Its totient is φ = 18498768076800.

The previous prime is 86454847177901. The next prime is 86454847177967. The reversal of 86454847177920 is 2977174845468.

86454847177920 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 484 + 71 + 7 + 79 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 855988585870 + ... + 855988585970.

It is an arithmetic number, because the mean of its divisors is an integer number (84556794564).

Almost surely, 2^{86454847177920} is an apocalyptic number.

86454847177920 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 86454847177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189407219823360).

86454847177920 is an abundant number, since it is smaller than the sum of its proper divisors (292359592468800).

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

86454847177920 is a wasteful number, since it uses less digits than its factorization.

86454847177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 86454847177920 in words is "eighty-six trillion, four hundred fifty-four billion, eight hundred forty-seven million, one hundred seventy-seven thousand, nine hundred twenty".