86094611460 has 288 divisors, whose sum is σ = 322959611520. Its totient is φ = 18251827200.

The previous prime is 86094611437. The next prime is 86094611483. The reversal of 86094611460 is 6411649068.

It is an interprime number because it is at equal distance from previous prime (86094611437) and next prime (86094611483).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 401040 + ... + 577080.

It is an arithmetic number, because the mean of its divisors is an integer number (1121387540).

Almost surely, 2^86094611460 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 86094611460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161479805760).

86094611460 is an abundant number, since it is smaller than the sum of its proper divisors (236865000060).

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

86094611460 is a wasteful number, since it uses less digits than its factorization.

86094611460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176099 (or 176094 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 86094611460 in words is "eighty-six billion, ninety-four million, six hundred eleven thousand, four hundred sixty".