825223442080 has 24 divisors (see below), whose sum is σ = 1949590382292. Its totient is φ = 330089376768.

The previous prime is 825223442053. The next prime is 825223442143. The reversal of 825223442080 is 80244322528.

It can be written as a sum of positive squares in 2 ways, for example, as 799042907664 + 26180534416 = 893892^2 + 161804^2 .

It is a super-2 number, since 2×825223442080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2578823097 + ... + 2578823416.

Almost surely, 2^825223442080 is an apocalyptic number.

825223442080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825223442080 is an abundant number, since it is smaller than the sum of its proper divisors (1124366940212).

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

825223442080 is a wasteful number, since it uses less digits than its factorization.

825223442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157646528 (or 5157646520 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 825223442080 in words is "eight hundred twenty-five billion, two hundred twenty-three million, four hundred forty-two thousand, eighty".