825152580560 has 80 divisors (see below), whose sum is σ = 2391870874752. Its totient is φ = 257190412800.

The previous prime is 825152580557. The next prime is 825152580583. The reversal of 825152580560 is 65085251528.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66970511 + ... + 66982830.

Almost surely, 2^825152580560 is an apocalyptic number.

825152580560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825152580560 is an abundant number, since it is smaller than the sum of its proper divisors (1566718294192).

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

825152580560 is a wasteful number, since it uses less digits than its factorization.

825152580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133953372 (or 133953366 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 47.

The spelling of 825152580560 in words is "eight hundred twenty-five billion, one hundred fifty-two million, five hundred eighty thousand, five hundred sixty".