825508873200 has 120 divisors (see below), whose sum is σ = 2884778326656. Its totient is φ = 200123360000.

The previous prime is 825508873193. The next prime is 825508873207. The reversal of 825508873200 is 2378805528.

It is an interprime number because it is at equal distance from previous prime (825508873193) and next prime (825508873207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 825508873200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825508873207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31256076 + ... + 31282475.

Almost surely, 2^825508873200 is an apocalyptic number.

825508873200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825508873200 is an abundant number, since it is smaller than the sum of its proper divisors (2059269453456).

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

825508873200 is a wasteful number, since it uses less digits than its factorization.

825508873200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62538583 (or 62538572 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 825508873200 in words is "eight hundred twenty-five billion, five hundred eight million, eight hundred seventy-three thousand, two hundred".