5686511040 has 672 divisors, whose sum is σ = 24000098304. Its totient is φ = 1254113280.

The previous prime is 5686511021. The next prime is 5686511057. The reversal of 5686511040 is 401156865.

5686511040 is a `hidden beast` number, since 568 + 6 + 51 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5686510986 and 5686511004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16873752 + ... + 16874088.

It is an arithmetic number, because the mean of its divisors is an integer number (35714432).

Almost surely, 2^5686511040 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 5686511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000049152).

5686511040 is an abundant number, since it is smaller than the sum of its proper divisors (18313587264).

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

5686511040 is a wasteful number, since it uses less digits than its factorization.

5686511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5686511040 is about 75408.9586189864. The cubic root of 5686511040 is about 1784.9057785165.

The spelling of 5686511040 in words is "five billion, six hundred eighty-six million, five hundred eleven thousand, forty".