5601560400 has 240 divisors, whose sum is σ = 19993720320. Its totient is φ = 1489536000.

The previous prime is 5601560383. The next prime is 5601560413. The reversal of 5601560400 is 40651065.

It is a happy number.

5601560400 is a `hidden beast` number, since 5 + 60 + 1 + 560 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6490369 + ... + 6491231.

It is an arithmetic number, because the mean of its divisors is an integer number (83307168).

Almost surely, 2^5601560400 is an apocalyptic number.

5601560400 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 5601560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996860160).

5601560400 is an abundant number, since it is smaller than the sum of its proper divisors (14392159920).

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

5601560400 is a wasteful number, since it uses less digits than its factorization.

5601560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5601560400 is about 74843.5728703541. The cubic root of 5601560400 is about 1775.9729269065.

The spelling of 5601560400 in words is "five billion, six hundred one million, five hundred sixty thousand, four hundred".