5935070440000 has 315 divisors, whose sum is σ = 15953235195447. Its totient is φ = 2189071872000.

The previous prime is 5935070439931. The next prime is 5935070440003. The reversal of 5935070440000 is 440705395.

The square root of 5935070440000 is 2436200.

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

It can be written as a sum of positive squares in 22 ways, for example, as 669477422656 + 5265593017344 = 818216^2 + 2294688^2 .

It is a super-2 number, since 2×5935070440000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5935070440003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6334119532 + ... + 6334120468.

Almost surely, 2^{5935070440000} is an apocalyptic number.

5935070440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5935070440000 is the 2436200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5935070440000

5935070440000 is an abundant number, since it is smaller than the sum of its proper divisors (10018164755447).

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

5935070440000 is an frugal number, since it uses more digits than its factorization.

5935070440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 5935070440000 in words is "five trillion, nine hundred thirty-five billion, seventy million, four hundred forty thousand".