851633665600 has 63 divisors (see below), whose sum is σ = 2095641922881. Its totient is φ = 340638700800.

The previous prime is 851633665583. The next prime is 851633665667. The reversal of 851633665600 is 6566336158.

The square root of 851633665600 is 922840.

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

It can be written as a sum of positive squares in only one way, i.e., 306588119616 + 545045545984 = 553704^2 + 738272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36902065 + ... + 36925135.

Almost surely, 2^851633665600 is an apocalyptic number.

851633665600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

851633665600 is the 922840-th square number.

It is an amenable number.

851633665600 is an abundant number, since it is smaller than the sum of its proper divisors (1244008257281).

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

851633665600 is an frugal number, since it uses more digits than its factorization.

851633665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46164 (or 23078 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 851633665600 by its sum of digits (49), we get a square (41730049614400 = 6459880²).

The spelling of 851633665600 in words is "eight hundred fifty-one billion, six hundred thirty-three million, six hundred sixty-five thousand, six hundred".