5426862312960 has 1440 divisors, whose sum is σ = 22689403472736. Its totient is φ = 1237922611200.

The previous prime is 5426862312947. The next prime is 5426862312967. The reversal of 5426862312960 is 692132686245.

5426862312960 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 8 + 623 + 1 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 5426862312897 and 5426862312906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5426862312967) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1279616440 + ... + 1279620680.

Almost surely, 2^{5426862312960} 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 5426862312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344701736368).

5426862312960 is an abundant number, since it is smaller than the sum of its proper divisors (17262541159776).

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

5426862312960 is a wasteful number, since it uses less digits than its factorization.

5426862312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5426862312960 in words is "five trillion, four hundred twenty-six billion, eight hundred sixty-two million, three hundred twelve thousand, nine hundred sixty".