86311814400 has 972 divisors, whose sum is σ = 366372105372. Its totient is φ = 19322634240.

The previous prime is 86311814377. The next prime is 86311814423. The reversal of 86311814400 is 441811368.

It is a happy number.

86311814400 is a `hidden beast` number, since 8 + 6 + 31 + 181 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86311814377) and next prime (86311814423).

It can be written as a sum of positive squares in 6 ways, for example, as 8725054464 + 77586759936 = 93408^2 + 278544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 149586912 + ... + 149587488.

Almost surely, 2^86311814400 is an apocalyptic number.

86311814400 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 86311814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183186052686).

86311814400 is an abundant number, since it is smaller than the sum of its proper divisors (280060290972).

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

86311814400 is a wasteful number, since it uses less digits than its factorization.

86311814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 86311814400 in words is "eighty-six billion, three hundred eleven million, eight hundred fourteen thousand, four hundred".