5966294880 has 864 divisors, whose sum is σ = 25234675200. Its totient is φ = 1177473024.

The previous prime is 5966294839. The next prime is 5966294923. The reversal of 5966294880 is 884926695.

It is a super-2 number, since 2×5966294880² = 71193349190228428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 5966294880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75522681 + ... + 75522759.

It is an arithmetic number, because the mean of its divisors is an integer number (29206800).

Almost surely, 2^5966294880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5966294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12617337600).

5966294880 is an abundant number, since it is smaller than the sum of its proper divisors (19268380320).

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

5966294880 is a wasteful number, since it uses less digits than its factorization.

5966294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The square root of 5966294880 is about 77241.7949040544. The cubic root of 5966294880 is about 1813.7116311134.

The spelling of 5966294880 in words is "five billion, nine hundred sixty-six million, two hundred ninety-four thousand, eight hundred eighty".