86253343007524 has 288 divisors, whose sum is σ = 200261782546560. Its totient is φ = 32101864704000.

The previous prime is 86253343007483. The next prime is 86253343007537. The reversal of 86253343007524 is 42570034335268.

It is a super-2 number, since 2×86253343007524² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10463824947 + ... + 10463833189.

It is an arithmetic number, because the mean of its divisors is an integer number (695353411620).

Almost surely, 2^{86253343007524} 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 86253343007524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100130891273280).

86253343007524 is an abundant number, since it is smaller than the sum of its proper divisors (114008439539036).

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

86253343007524 is a wasteful number, since it uses less digits than its factorization.

86253343007524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 52.

The spelling of 86253343007524 in words is "eighty-six trillion, two hundred fifty-three billion, three hundred forty-three million, seven thousand, five hundred twenty-four".