880553617920 has 560 divisors, whose sum is σ = 3233121281280. Its totient is φ = 229795356672.

The previous prime is 880553617903. The next prime is 880553617963. The reversal of 880553617920 is 29716355088.

880553617920 is a `hidden beast` number, since 8 + 8 + 0 + 5 + 536 + 17 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 87708261 + ... + 87718299.

Almost surely, 2^880553617920 is an apocalyptic number.

880553617920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880553617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616560640640).

880553617920 is an abundant number, since it is smaller than the sum of its proper divisors (2352567663360).

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

880553617920 is an equidigital number, since it uses as much as digits as its factorization.

880553617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 880553617920 in words is "eight hundred eighty billion, five hundred fifty-three million, six hundred seventeen thousand, nine hundred twenty".