5466528000 has 864 divisors, whose sum is σ = 22052634240. Its totient is φ = 1343692800.

The previous prime is 5466527933. The next prime is 5466528031. The reversal of 5466528000 is 8256645.

It is a tau number, because it is divible by the number of its divisors (864).

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, 147743982 + ... + 147744018.

Almost surely, 2^5466528000 is an apocalyptic number.

5466528000 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 5466528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026317120).

5466528000 is an abundant number, since it is smaller than the sum of its proper divisors (16586106240).

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

5466528000 is an equidigital number, since it uses as much as digits as its factorization.

5466528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

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

The square root of 5466528000 is about 73935.9723003627. The cubic root of 5466528000 is about 1761.5860358685.

The spelling of 5466528000 in words is "five billion, four hundred sixty-six million, five hundred twenty-eight thousand".