880243752960 has 1920 divisors, whose sum is σ = 3868372408320. Its totient is φ = 188413378560.

The previous prime is 880243752959. The next prime is 880243753093. The reversal of 880243752960 is 69257342088.

880243752960 is a `hidden beast` number, since 8 + 8 + 0 + 24 + 37 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 880243752897 and 880243752906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38271467509 + ... + 38271467531.

It is an arithmetic number, because the mean of its divisors is an integer number (2014777296).

Almost surely, 2^880243752960 is an apocalyptic number.

880243752960 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 880243752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934186204160).

880243752960 is an abundant number, since it is smaller than the sum of its proper divisors (2988128655360).

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

880243752960 is a wasteful number, since it uses less digits than its factorization.

880243752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 880243752960 in words is "eight hundred eighty billion, two hundred forty-three million, seven hundred fifty-two thousand, nine hundred sixty".