5813561661120 has 448 divisors, whose sum is σ = 21758305276800. Its totient is φ = 1456204677120.

The previous prime is 5813561661107. The next prime is 5813561661133. The reversal of 5813561661120 is 211661653185.

It is a happy number.

5813561661120 is a `hidden beast` number, since 5 + 8 + 1 + 3 + 5 + 6 + 1 + 6 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5813561661107) and next prime (5813561661133).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74723040 + ... + 74800800.

Almost surely, 2^{5813561661120} 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 5813561661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879152638400).

5813561661120 is an abundant number, since it is smaller than the sum of its proper divisors (15944743615680).

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

5813561661120 is a wasteful number, since it uses less digits than its factorization.

5813561661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78313 (or 78297 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5813561661120 in words is "five trillion, eight hundred thirteen billion, five hundred sixty-one million, six hundred sixty-one thousand, one hundred twenty".