5126296896000 has 2880 divisors, whose sum is σ = 23073360710400. Its totient is φ = 1133927424000.

The previous prime is 5126296895989. The next prime is 5126296896011. The reversal of 5126296896000 is 6986926215.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5126296896000 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 29 + 6 + 8 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5126296895989) and next prime (5126296896011).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 165364415985 + ... + 165364416015.

It is an arithmetic number, because the mean of its divisors is an integer number (8011583580).

Almost surely, 2^{5126296896000} is an apocalyptic number.

5126296896000 is a gapful number since it is divisible by the number (50) 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 5126296896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536680355200).

5126296896000 is an abundant number, since it is smaller than the sum of its proper divisors (17947063814400).

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

5126296896000 is an frugal number, since it uses more digits than its factorization.

5126296896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 5126296896000 in words is "five trillion, one hundred twenty-six billion, two hundred ninety-six million, eight hundred ninety-six thousand".