5126896456704 has 1232 divisors, whose sum is σ = 18692966220480. Its totient is φ = 1384541061120.

The previous prime is 5126896456697. The next prime is 5126896456831. The reversal of 5126896456704 is 4076546986215.

5126896456704 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 8 + 9 + 64 + 567 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2652299322 + ... + 2652301254.

Almost surely, 2^{5126896456704} is an apocalyptic number.

5126896456704 is a gapful number since it is divisible by the number (54) 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 5126896456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9346483110240).

5126896456704 is an abundant number, since it is smaller than the sum of its proper divisors (13566069763776).

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

5126896456704 is a wasteful number, since it uses less digits than its factorization.

5126896456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5126896456704 in words is "five trillion, one hundred twenty-six billion, eight hundred ninety-six million, four hundred fifty-six thousand, seven hundred four".