5872869826560 has 2240 divisors, whose sum is σ = 24663518668800. Its totient is φ = 1322857267200.

The previous prime is 5872869826543. The next prime is 5872869826561. The reversal of 5872869826560 is 656289682785.

5872869826560 is a `hidden beast` number, since 5 + 87 + 286 + 9 + 8 + 265 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872869826561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32809328551 + ... + 32809328729.

Almost surely, 2^{5872869826560} 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 5872869826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331759334400).

5872869826560 is an abundant number, since it is smaller than the sum of its proper divisors (18790648842240).

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

5872869826560 is a wasteful number, since it uses less digits than its factorization.

5872869826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 5872869826560 in words is "five trillion, eight hundred seventy-two billion, eight hundred sixty-nine million, eight hundred twenty-six thousand, five hundred sixty".