5711672309760 has 336 divisors, whose sum is σ = 20547627511320. Its totient is φ = 1523110625280.

The previous prime is 5711672309741. The next prime is 5711672309857. The reversal of 5711672309760 is 679032761175.

5711672309760 is a `hidden beast` number, since 571 + 1 + 6 + 7 + 2 + 3 + 0 + 9 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5711672309697 and 5711672309706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7082395 + ... + 7847525.

Almost surely, 2^{5711672309760} 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 5711672309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273813755660).

5711672309760 is an abundant number, since it is smaller than the sum of its proper divisors (14835955201560).

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

5711672309760 is an frugal number, since it uses more digits than its factorization.

5711672309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765176 (or 765141 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 5711672309760 in words is "five trillion, seven hundred eleven billion, six hundred seventy-two million, three hundred nine thousand, seven hundred sixty".