5040025000000 has 189 divisors, whose sum is σ = 12529523370037. Its totient is φ = 2011520000000.

The previous prime is 5040024999983. The next prime is 5040025000039. The reversal of 5040025000000 is 5200405.

It is a happy number.

The square root of 5040025000000 is 2245000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 528784934976 + 4511240065024 = 727176^2 + 2123968^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11224999776 + ... + 11225000224.

Almost surely, 2^{5040025000000} is an apocalyptic number.

5040025000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5040025000000 is the 2245000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040025000000

5040025000000 is an abundant number, since it is smaller than the sum of its proper divisors (7489498370037).

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

5040025000000 is an frugal number, since it uses more digits than its factorization.

5040025000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

Multiplying 5040025000000 by its sum of digits (16), we get a square (80640400000000 = 8980000²).

5040025000000 divided by its sum of digits (16) gives a square (315001562500 = 561250²).

The spelling of 5040025000000 in words is "five trillion, forty billion, twenty-five million", and thus it is an aban number and an uban number.