86253572476160 has 144 divisors (see below), whose sum is σ = 210577746943872. Its totient is φ = 33842818867200.

The previous prime is 86253572476139. The next prime is 86253572476249. The reversal of 86253572476160 is 6167427535268.

86253572476160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 86253572476093 and 86253572476102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15494495 + ... + 20312225.

It is an arithmetic number, because the mean of its divisors is an integer number (1462345464888).

Almost surely, 2^{86253572476160} is an apocalyptic number.

86253572476160 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 86253572476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105288873471936).

86253572476160 is an abundant number, since it is smaller than the sum of its proper divisors (124324174467712).

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

86253572476160 is a wasteful number, since it uses less digits than its factorization.

86253572476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818020 (or 4818006 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 86253572476160 in words is "eighty-six trillion, two hundred fifty-three billion, five hundred seventy-two million, four hundred seventy-six thousand, one hundred sixty".