825954970880 has 108 divisors (see below), whose sum is σ = 2142313630380. Its totient is φ = 304967909376.

The previous prime is 825954970879. The next prime is 825954970903. The reversal of 825954970880 is 88079459528.

It can be written as a sum of positive squares in 6 ways, for example, as 35392144384 + 790562826496 = 188128^2 + 889136^2 .

It is a super-2 number, since 2×825954970880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1692785 + ... + 2125424.

Almost surely, 2^825954970880 is an apocalyptic number.

825954970880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825954970880 is an abundant number, since it is smaller than the sum of its proper divisors (1316358659500).

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

825954970880 is a wasteful number, since it uses less digits than its factorization.

825954970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818256 (or 3818229 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 65.

The spelling of 825954970880 in words is "eight hundred twenty-five billion, nine hundred fifty-four million, nine hundred seventy thousand, eight hundred eighty".