86265276756480 has 640 divisors, whose sum is σ = 307953732556800. Its totient is φ = 22889316483072.

The previous prime is 86265276756443. The next prime is 86265276756553. The reversal of 86265276756480 is 8465767256268.

86265276756480 is a `hidden beast` number, since 8 + 6 + 2 + 6 + 5 + 2 + 76 + 75 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 86265276756399 and 86265276756408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13132174636 + ... + 13132181204.

It is an arithmetic number, because the mean of its divisors is an integer number (481177707120).

Almost surely, 2^{86265276756480} is an apocalyptic number.

86265276756480 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 86265276756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153976866278400).

86265276756480 is an abundant number, since it is smaller than the sum of its proper divisors (221688455800320).

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

86265276756480 is a wasteful number, since it uses less digits than its factorization.

86265276756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 86265276756480 in words is "eighty-six trillion, two hundred sixty-five billion, two hundred seventy-six million, seven hundred fifty-six thousand, four hundred eighty".