86245762176 has 576 divisors, whose sum is σ = 312216353280. Its totient is φ = 23165263872.

The previous prime is 86245762087. The next prime is 86245762277. The reversal of 86245762176 is 67126754268.

It is a happy number.

86245762176 is a `hidden beast` number, since 8 + 6 + 2 + 4 + 5 + 7 + 621 + 7 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99936721 + ... + 99937583.

It is an arithmetic number, because the mean of its divisors is an integer number (542042280).

Almost surely, 2^86245762176 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 86245762176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156108176640).

86245762176 is an abundant number, since it is smaller than the sum of its proper divisors (225970591104).

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

86245762176 is an frugal number, since it uses more digits than its factorization.

86245762176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 892 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 86245762176 in words is "eighty-six billion, two hundred forty-five million, seven hundred sixty-two thousand, one hundred seventy-six".