86925893418 has 768 divisors, whose sum is σ = 270516879360. Its totient is φ = 20281363200.

The previous prime is 86925893291. The next prime is 86925893477. The reversal of 86925893418 is 81439852968.

86925893418 is a `hidden beast` number, since 8 + 6 + 9 + 2 + 589 + 3 + 41 + 8 = 666.

It is a super-2 number, since 2×86925893418² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1224308323 + ... + 1224308393.

It is an arithmetic number, because the mean of its divisors is an integer number (352235520).

Almost surely, 2^86925893418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86925893418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135258439680).

86925893418 is an abundant number, since it is smaller than the sum of its proper divisors (183590985942).

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

86925893418 is a wasteful number, since it uses less digits than its factorization.

86925893418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 86925893418 in words is "eighty-six billion, nine hundred twenty-five million, eight hundred ninety-three thousand, four hundred eighteen".