880850163974400 has 405 divisors, whose sum is σ = 3256983413087943. Its totient is φ = 234887678668800.

The previous prime is 880850163974377. The next prime is 880850163974449. The reversal of 880850163974400 is 4479361058088.

The square root of 880850163974400 is 29679120.

It is a perfect power (a square), and thus also a powerful number.

880850163974400 is a `hidden beast` number, since 8 + 8 + 0 + 85 + 0 + 1 + 63 + 97 + 4 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212463041036544 + 668387122937856 = 14576112^2 + 25853184^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×880850163974400² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21368945790 + ... + 21368987010.

Almost surely, 2^{880850163974400} is an apocalyptic number.

880850163974400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

880850163974400 is the 29679120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880850163974400

880850163974400 is an abundant number, since it is smaller than the sum of its proper divisors (2376133249113543).

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

880850163974400 is an frugal number, since it uses more digits than its factorization.

880850163974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82480 (or 41231 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 880850163974400 in words is "eight hundred eighty trillion, eight hundred fifty billion, one hundred sixty-three million, nine hundred seventy-four thousand, four hundred".