5901861605640 has 3072 divisors, whose sum is σ = 26636320972800. Its totient is φ = 1007935488000.

The previous prime is 5901861605621. The next prime is 5901861605723. The reversal of 5901861605640 is 465061681095.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 137252595459 + ... + 137252595501.

It is an arithmetic number, because the mean of its divisors is an integer number (8670677400).

Almost surely, 2^{5901861605640} 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 5901861605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318160486400).

5901861605640 is an abundant number, since it is smaller than the sum of its proper divisors (20734459367160).

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

5901861605640 is a wasteful number, since it uses less digits than its factorization.

5901861605640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 5901861605640 in words is "five trillion, nine hundred one billion, eight hundred sixty-one million, six hundred five thousand, six hundred forty".