5725940084046 has 192 divisors, whose sum is σ = 15412560508800. Its totient is φ = 1495971348480.

The previous prime is 5725940083987. The next prime is 5725940084089. The reversal of 5725940084046 is 6404800495275.

5725940084046 is a `hidden beast` number, since 5 + 7 + 2 + 594 + 0 + 0 + 8 + 4 + 0 + 46 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5725940083983 and 5725940084001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396279030 + ... + 396293478.

It is an arithmetic number, because the mean of its divisors is an integer number (80273752650).

Almost surely, 2^{5725940084046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5725940084046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706280254400).

5725940084046 is an abundant number, since it is smaller than the sum of its proper divisors (9686620424754).

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

5725940084046 is a wasteful number, since it uses less digits than its factorization.

5725940084046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16731 (or 16728 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5725940084046 in words is "five trillion, seven hundred twenty-five billion, nine hundred forty million, eighty-four thousand, forty-six".