5126640000 has 320 divisors, whose sum is σ = 17465096880. Its totient is φ = 1331200000.

The previous prime is 5126639963. The next prime is 5126640011. The reversal of 5126640000 is 466215.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9839740 + ... + 9840260.

Almost surely, 2^5126640000 is an apocalyptic number.

5126640000 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 5126640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732548440).

5126640000 is an abundant number, since it is smaller than the sum of its proper divisors (12338456880).

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

5126640000 is an equidigital number, since it uses as much as digits as its factorization.

5126640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5126640000 is about 71600.5586570384. The cubic root of 5126640000 is about 1724.2925054978.

The spelling of 5126640000 in words is "five billion, one hundred twenty-six million, six hundred forty thousand".