5142811206456 has 960 divisors, whose sum is σ = 19906066224000. Its totient is φ = 1221806799360.

The previous prime is 5142811206433. The next prime is 5142811206517. The reversal of 5142811206456 is 6546021182415.

5142811206456 is a `hidden beast` number, since 5 + 1 + 428 + 11 + 206 + 4 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 192435511 + ... + 192462233.

It is an arithmetic number, because the mean of its divisors is an integer number (20735485650).

Almost surely, 2^{5142811206456} is an apocalyptic number.

5142811206456 is a gapful number since it is divisible by the number (56) 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 5142811206456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953033112000).

5142811206456 is an abundant number, since it is smaller than the sum of its proper divisors (14763255017544).

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

5142811206456 is a wasteful number, since it uses less digits than its factorization.

5142811206456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26814 (or 26794 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5142811206456 in words is "five trillion, one hundred forty-two billion, eight hundred eleven million, two hundred six thousand, four hundred fifty-six".