86904609120 has 288 divisors, whose sum is σ = 339166481472. Its totient is φ = 19849936896.

The previous prime is 86904609119. The next prime is 86904609131. The reversal of 86904609120 is 2190640968.

It is a happy number.

86904609120 is a `hidden beast` number, since 8 + 69 + 0 + 460 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×86904609120² (a number of 23 digits) contains 22 as substring.

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

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, 22909944 + ... + 22913736.

It is an arithmetic number, because the mean of its divisors is an integer number (1177661394).

Almost surely, 2^86904609120 is an apocalyptic number.

86904609120 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 86904609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169583240736).

86904609120 is an abundant number, since it is smaller than the sum of its proper divisors (252261872352).

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

86904609120 is a wasteful number, since it uses less digits than its factorization.

86904609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 86904609120 in words is "eighty-six billion, nine hundred four million, six hundred nine thousand, one hundred twenty".