856291129600 has 243 divisors, whose sum is σ = 2177986741203. Its totient is φ = 333307269120.

The previous prime is 856291129567. The next prime is 856291129637. The reversal of 856291129600 is 6921192658.

The square root of 856291129600 is 925360.

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 328448194816 + 527842934784 = 573104^2 + 726528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3183238266 + ... + 3183238534.

Almost surely, 2^856291129600 is an apocalyptic number.

856291129600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

856291129600 is the 925360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856291129600

856291129600 is an abundant number, since it is smaller than the sum of its proper divisors (1321695611603).

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

856291129600 is an frugal number, since it uses more digits than its factorization.

856291129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 856291129600 by its sum of digits (49), we get a square (41958265350400 = 6477520²).

The spelling of 856291129600 in words is "eight hundred fifty-six billion, two hundred ninety-one million, one hundred twenty-nine thousand, six hundred".