85287361600 has 315 divisors, whose sum is σ = 246476479487. Its totient is φ = 29045130240.

The previous prime is 85287361589. The next prime is 85287361619. The reversal of 85287361600 is 616378258.

The square root of 85287361600 is 292040.

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 25454287936 + 59833073664 = 159544^2 + 244608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 572398326 + ... + 572398474.

Almost surely, 2^85287361600 is an apocalyptic number.

85287361600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85287361600 is the 292040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85287361600

85287361600 is an abundant number, since it is smaller than the sum of its proper divisors (161189117887).

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

85287361600 is an frugal number, since it uses more digits than its factorization.

85287361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 85287361600 in words is "eighty-five billion, two hundred eighty-seven million, three hundred sixty-one thousand, six hundred".