86572529472 has 336 divisors, whose sum is σ = 275232936960. Its totient is φ = 23799859200.

The previous prime is 86572529447. The next prime is 86572529479. The reversal of 86572529472 is 27492527568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86572529479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21056697 + ... + 21060807.

Almost surely, 2^86572529472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86572529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137616468480).

86572529472 is an abundant number, since it is smaller than the sum of its proper divisors (188660407488).

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

86572529472 is a wasteful number, since it uses less digits than its factorization.

86572529472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4199 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The spelling of 86572529472 in words is "eighty-six billion, five hundred seventy-two million, five hundred twenty-nine thousand, four hundred seventy-two".