86742030400 has 189 divisors, whose sum is σ = 220472027559. Its totient is φ = 33589416960.

The previous prime is 86742030379. The next prime is 86742030449. The reversal of 86742030400 is 403024768.

The square root of 86742030400 is 294520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8234473536 + 78507556864 = 90744^2 + 280192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 435889501 + ... + 435889699.

Almost surely, 2^86742030400 is an apocalyptic number.

86742030400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86742030400 is the 294520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86742030400

86742030400 is an abundant number, since it is smaller than the sum of its proper divisors (133729997159).

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

86742030400 is an equidigital number, since it uses as much as digits as its factorization.

86742030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 86742030400 in words is "eighty-six billion, seven hundred forty-two million, thirty thousand, four hundred".