84905256965760 has 7680 divisors, whose sum is σ = 428624824320000. Its totient is φ = 15933509222400.

The previous prime is 84905256965717. The next prime is 84905256965777. The reversal of 84905256965760 is 6756965250948.

It is a happy number.

84905256965760 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 5 + 2 + 569 + 6 + 57 + 6 + 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 polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1267242641247 + ... + 1267242641313.

It is an arithmetic number, because the mean of its divisors is an integer number (55810524000).

Almost surely, 2^{84905256965760} is an apocalyptic number.

84905256965760 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 84905256965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214312412160000).

84905256965760 is an abundant number, since it is smaller than the sum of its proper divisors (343719567354240).

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

84905256965760 is a wasteful number, since it uses less digits than its factorization.

84905256965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 84905256965760 in words is "eighty-four trillion, nine hundred five billion, two hundred fifty-six million, nine hundred sixty-five thousand, seven hundred sixty".