5726952915840 has 1152 divisors, whose sum is σ = 22252942183680. Its totient is φ = 1355114741760.

The previous prime is 5726952915839. The next prime is 5726952915847. The reversal of 5726952915840 is 485192596275.

5726952915840 is a `hidden beast` number, since 5 + 7 + 2 + 69 + 529 + 1 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5726952915847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5220558172 + ... + 5220559268.

It is an arithmetic number, because the mean of its divisors is an integer number (19316790090).

Almost surely, 2^{5726952915840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5726952915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126471091840).

5726952915840 is an abundant number, since it is smaller than the sum of its proper divisors (16525989267840).

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

5726952915840 is a wasteful number, since it uses less digits than its factorization.

5726952915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 5726952915840 in words is "five trillion, seven hundred twenty-six billion, nine hundred fifty-two million, nine hundred fifteen thousand, eight hundred forty".