5546268000 has 576 divisors, whose sum is σ = 24240408192. Its totient is φ = 1169510400.

The previous prime is 5546267999. The next prime is 5546268029. The reversal of 5546268000 is 8626455.

5546268000 is a `hidden beast` number, since 554 + 6 + 26 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×5546268000² = 61522177455648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3275154 + ... + 3276846.

It is an arithmetic number, because the mean of its divisors is an integer number (42084042).

Almost surely, 2^5546268000 is an apocalyptic number.

5546268000 is a gapful number since it is divisible by the number (50) 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 5546268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120204096).

5546268000 is an abundant number, since it is smaller than the sum of its proper divisors (18694140192).

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

5546268000 is a wasteful number, since it uses less digits than its factorization.

5546268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5546268000 is about 74473.2703726646. The cubic root of 5546268000 is about 1770.1101147620.

The spelling of 5546268000 in words is "five billion, five hundred forty-six million, two hundred sixty-eight thousand".