86113203278400 has 945 divisors, whose sum is σ = 320521762549681. Its totient is φ = 22677557022720.

The previous prime is 86113203278381. The next prime is 86113203278437. The reversal of 86113203278400 is 487230231168.

The square root of 86113203278400 is 9279720.

It is a perfect power (a square), and thus also a powerful number.

86113203278400 is a `hidden beast` number, since 8 + 6 + 1 + 13 + 203 + 27 + 8 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 51429207445056 + 34683995833344 = 7171416^2 + 5889312^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 497764180714 + ... + 497764180886.

Almost surely, 2^{86113203278400} is an apocalyptic number.

86113203278400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86113203278400 is the 9279720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86113203278400

86113203278400 is an abundant number, since it is smaller than the sum of its proper divisors (234408559271281).

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

86113203278400 is an equidigital number, since it uses as much as digits as its factorization.

86113203278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 86113203278400 in words is "eighty-six trillion, one hundred thirteen billion, two hundred three million, two hundred seventy-eight thousand, four hundred".