5861390745600 has 612 divisors, whose sum is σ = 22612509952396. Its totient is φ = 1442756689920.

The previous prime is 5861390745593. The next prime is 5861390745647. The reversal of 5861390745600 is 65470931685.

5861390745600 is a `hidden beast` number, since 5 + 8 + 6 + 1 + 3 + 9 + 0 + 74 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 945343954944 + 4916046790656 = 972288^2 + 2217216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191677512 + ... + 191708088.

Almost surely, 2^{5861390745600} is an apocalyptic number.

5861390745600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5861390745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306254976198).

5861390745600 is an abundant number, since it is smaller than the sum of its proper divisors (16751119206796).

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

5861390745600 is a wasteful number, since it uses less digits than its factorization.

5861390745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30638 (or 30600 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5861390745600 in words is "five trillion, eight hundred sixty-one billion, three hundred ninety million, seven hundred forty-five thousand, six hundred".