5601484000 has 144 divisors (see below), whose sum is σ = 16010401680. Its totient is φ = 1920441600.

The previous prime is 5601483991. The next prime is 5601484033. The reversal of 5601484000 is 4841065.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5601484000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181711 + ... + 210289.

It is an arithmetic number, because the mean of its divisors is an integer number (111183345).

Almost surely, 2^5601484000 is an apocalyptic number.

5601484000 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 5601484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005200840).

5601484000 is an abundant number, since it is smaller than the sum of its proper divisors (10408917680).

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

5601484000 is a wasteful number, since it uses less digits than its factorization.

5601484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28618 (or 28593 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5601484000 is about 74843.0624707461. The cubic root of 5601484000 is about 1775.9648526713.

The spelling of 5601484000 in words is "five billion, six hundred one million, four hundred eighty-four thousand".