869854675600 has 45 divisors (see below), whose sum is σ = 2089870673403. Its totient is φ = 347934408960.

The previous prime is 869854675559. The next prime is 869854675603. The reversal of 869854675600 is 6576458968.

The square root of 869854675600 is 932660.

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 134404358544 + 735450317056 = 366612^2 + 857584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (869854675603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18629884 + ... + 18676516.

Almost surely, 2^869854675600 is an apocalyptic number.

869854675600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

869854675600 is the 932660-th square number.

It is an amenable number.

869854675600 is an abundant number, since it is smaller than the sum of its proper divisors (1220015997803).

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

869854675600 is an frugal number, since it uses more digits than its factorization.

869854675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93284 (or 46640 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

Multiplying 869854675600 by its sum of digits (64), we get a square (55670699238400 = 7461280²).

The spelling of 869854675600 in words is "eight hundred sixty-nine billion, eight hundred fifty-four million, six hundred seventy-five thousand, six hundred".