86572828800 has 576 divisors, whose sum is σ = 322303924800. Its totient is φ = 22106972160.

The previous prime is 86572828799. The next prime is 86572828801. The reversal of 86572828800 is 882827568.

It is an interprime number because it is at equal distance from previous prime (86572828799) and next prime (86572828801).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (86572828801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65634541 + ... + 65635859.

It is an arithmetic number, because the mean of its divisors is an integer number (559555425).

Almost surely, 2^86572828800 is an apocalyptic number.

86572828800 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 86572828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161151962400).

86572828800 is an abundant number, since it is smaller than the sum of its proper divisors (235731096000).

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

86572828800 is a wasteful number, since it uses less digits than its factorization.

86572828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 86572828800 in words is "eighty-six billion, five hundred seventy-two million, eight hundred twenty-eight thousand, eight hundred".