86792267520 has 864 divisors, whose sum is σ = 371259732480. Its totient is φ = 18274222080.

The previous prime is 86792267503. The next prime is 86792267521. The reversal of 86792267520 is 2576229768.

86792267520 is a `hidden beast` number, since 8 + 6 + 7 + 92 + 26 + 7 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86792267521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56689155 + ... + 56690685.

Almost surely, 2^86792267520 is an apocalyptic number.

86792267520 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 86792267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185629866240).

86792267520 is an abundant number, since it is smaller than the sum of its proper divisors (284467464960).

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

86792267520 is a wasteful number, since it uses less digits than its factorization.

86792267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 86792267520 in words is "eighty-six billion, seven hundred ninety-two million, two hundred sixty-seven thousand, five hundred twenty".