5956542144 has 448 divisors, whose sum is σ = 21506688000. Its totient is φ = 1577926656.

The previous prime is 5956542143. The next prime is 5956542187. The reversal of 5956542144 is 4412456595.

5956542144 is a `hidden beast` number, since 5 + 9 + 565 + 42 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 5956542144.

It is not an unprimeable number, because it can be changed into a prime (5956542143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17067282 + ... + 17067630.

It is an arithmetic number, because the mean of its divisors is an integer number (48006000).

Almost surely, 2^5956542144 is an apocalyptic number.

5956542144 is a gapful number since it is divisible by the number (54) 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 5956542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344000).

5956542144 is an abundant number, since it is smaller than the sum of its proper divisors (15550145856).

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

5956542144 is a wasteful number, since it uses less digits than its factorization.

5956542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 5956542144 is about 77178.6378734427. The cubic root of 5956542144 is about 1812.7228377880.

The spelling of 5956542144 in words is "five billion, nine hundred fifty-six million, five hundred forty-two thousand, one hundred forty-four".