86782583520 has 480 divisors, whose sum is σ = 318512113920. Its totient is φ = 22225674240.

The previous prime is 86782583471. The next prime is 86782583533. The reversal of 86782583520 is 2538528768.

86782583520 is a `hidden beast` number, since 8 + 6 + 7 + 8 + 2 + 583 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87570225 + ... + 87571215.

It is an arithmetic number, because the mean of its divisors is an integer number (663566904).

Almost surely, 2^86782583520 is an apocalyptic number.

86782583520 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 86782583520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159256056960).

86782583520 is an abundant number, since it is smaller than the sum of its proper divisors (231729530400).

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

86782583520 is a wasteful number, since it uses less digits than its factorization.

86782583520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 86782583520 in words is "eighty-six billion, seven hundred eighty-two million, five hundred eighty-three thousand, five hundred twenty".