5787276309360 has 1440 divisors, whose sum is σ = 24977316349440. Its totient is φ = 1169256591360.

The previous prime is 5787276309313. The next prime is 5787276309361. The reversal of 5787276309360 is 639036727875.

5787276309360 is a `hidden beast` number, since 57 + 8 + 7 + 276 + 309 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5787276309361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6737224611 + ... + 6737225469.

It is an arithmetic number, because the mean of its divisors is an integer number (17345358576).

Almost surely, 2^{5787276309360} 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 5787276309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488658174720).

5787276309360 is an abundant number, since it is smaller than the sum of its proper divisors (19190040040080).

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

5787276309360 is a wasteful number, since it uses less digits than its factorization.

5787276309360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 5787276309360 in words is "five trillion, seven hundred eighty-seven billion, two hundred seventy-six million, three hundred nine thousand, three hundred sixty".