86572077840 has 240 divisors, whose sum is σ = 296098298496. Its totient is φ = 22663065600.

The previous prime is 86572077811. The next prime is 86572077857. The reversal of 86572077840 is 4877027568.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×86572077840³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12316407 + ... + 12323433.

Almost surely, 2^86572077840 is an apocalyptic number.

86572077840 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 86572077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148049149248).

86572077840 is an abundant number, since it is smaller than the sum of its proper divisors (209526220656).

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

86572077840 is a wasteful number, since it uses less digits than its factorization.

86572077840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 86572077840 in words is "eighty-six billion, five hundred seventy-two million, seventy-seven thousand, eight hundred forty".