86119476480 has 432 divisors, whose sum is σ = 316612820160. Its totient is φ = 22165807104.

The previous prime is 86119476433. The next prime is 86119476511. The reversal of 86119476480 is 8467491168.

86119476480 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 94 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29063479 + ... + 29066441.

Almost surely, 2^86119476480 is an apocalyptic number.

86119476480 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 86119476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158306410080).

86119476480 is an abundant number, since it is smaller than the sum of its proper divisors (230493343680).

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

86119476480 is a wasteful number, since it uses less digits than its factorization.

86119476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 86119476480 in words is "eighty-six billion, one hundred nineteen million, four hundred seventy-six thousand, four hundred eighty".