5268144960 has 896 divisors, whose sum is σ = 22121164800. Its totient is φ = 1167851520.

The previous prime is 5268144923. The next prime is 5268144961. The reversal of 5268144960 is 694418625.

5268144960 is a `hidden beast` number, since 526 + 81 + 4 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268144961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59192596 + ... + 59192684.

It is an arithmetic number, because the mean of its divisors is an integer number (24688800).

Almost surely, 2^5268144960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060582400).

5268144960 is an abundant number, since it is smaller than the sum of its proper divisors (16853019840).

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

5268144960 is a wasteful number, since it uses less digits than its factorization.

5268144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5268144960 is about 72581.9878482258. The cubic root of 5268144960 is about 1740.0133173773.

The spelling of 5268144960 in words is "five billion, two hundred sixty-eight million, one hundred forty-four thousand, nine hundred sixty".