5214241578960 has 640 divisors, whose sum is σ = 19551377203200. Its totient is φ = 1271949557760.

The previous prime is 5214241578941. The next prime is 5214241578979. The reversal of 5214241578960 is 698751424125.

5214241578960 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 2 + 4 + 1 + 578 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5214241578941) and next prime (5214241578979).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5214241578897 and 5214241578906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1998558136 + ... + 1998560744.

It is an arithmetic number, because the mean of its divisors is an integer number (30549026880).

Almost surely, 2^{5214241578960} 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 5214241578960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775688601600).

5214241578960 is an abundant number, since it is smaller than the sum of its proper divisors (14337135624240).

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

5214241578960 is a wasteful number, since it uses less digits than its factorization.

5214241578960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5214241578960 in words is "five trillion, two hundred fourteen billion, two hundred forty-one million, five hundred seventy-eight thousand, nine hundred sixty".