5126913792000 has 5760 divisors, whose sum is σ = 27159151219200. Its totient is φ = 931627008000.

The previous prime is 5126913791983. The next prime is 5126913792059. The reversal of 5126913792000 is 2973196215.

It is a happy number.

5126913792000 is a `hidden beast` number, since 5 + 12 + 69 + 1 + 379 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 269837567991 + ... + 269837568009.

It is an arithmetic number, because the mean of its divisors is an integer number (4715130420).

Almost surely, 2^{5126913792000} is an apocalyptic number.

5126913792000 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 5126913792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579575609600).

5126913792000 is an abundant number, since it is smaller than the sum of its proper divisors (22032237427200).

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

5126913792000 is a wasteful number, since it uses less digits than its factorization.

5126913792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 5126913792000 in words is "five trillion, one hundred twenty-six billion, nine hundred thirteen million, seven hundred ninety-two thousand".