84920768123520 has 768 divisors, whose sum is σ = 321515306985600. Its totient is φ = 19002925154304.

The previous prime is 84920768123501. The next prime is 84920768123531. The reversal of 84920768123520 is 2532186702948.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328555846 + ... + 2328592314.

It is a 2-persistent number, because it is pandigital, and so is 2⋅84920768123520 = 169841536247040, but 3⋅84920768123520 = 254762304370560 is not.

Almost surely, 2^{84920768123520} is an apocalyptic number.

84920768123520 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 84920768123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160757653492800).

84920768123520 is an abundant number, since it is smaller than the sum of its proper divisors (236594538862080).

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

84920768123520 is a wasteful number, since it uses less digits than its factorization.

84920768123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37025 (or 37006 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 84920768123520 in words is "eighty-four trillion, nine hundred twenty billion, seven hundred sixty-eight million, one hundred twenty-three thousand, five hundred twenty".