854570824900 has 135 divisors (see below), whose sum is σ = 2012627550129. Its totient is φ = 314956998720.

The previous prime is 854570824889. The next prime is 854570824907. The reversal of 854570824900 is 9428075458.

The square root of 854570824900 is 924430.

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

It can be written as a sum of positive squares in 7 ways, for example, as 838466199684 + 16104625216 = 915678^2 + 126904^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (854570824907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1562286427 + ... + 1562286973.

Almost surely, 2^854570824900 is an apocalyptic number.

854570824900 is the 924430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854570824900

854570824900 is an abundant number, since it is smaller than the sum of its proper divisors (1158056725229).

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

854570824900 is an frugal number, since it uses more digits than its factorization.

854570824900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 854570824900 in words is "eight hundred fifty-four billion, five hundred seventy million, eight hundred twenty-four thousand, nine hundred".