86112149760 has 720 divisors, whose sum is σ = 379272343296. Its totient is φ = 18166726656.

The previous prime is 86112149729. The next prime is 86112149801. The reversal of 86112149760 is 6794121168.

86112149760 is a `hidden beast` number, since 8 + 611 + 21 + 4 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9430317 + ... + 9439443.

Almost surely, 2^86112149760 is an apocalyptic number.

86112149760 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 86112149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189636171648).

86112149760 is an abundant number, since it is smaller than the sum of its proper divisors (293160193536).

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

86112149760 is a wasteful number, since it uses less digits than its factorization.

86112149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 86112149760 in words is "eighty-six billion, one hundred twelve million, one hundred forty-nine thousand, seven hundred sixty".