4086509272560 has 1800 divisors, whose sum is σ = 17373333673872. Its totient is φ = 882457804800.

The previous prime is 4086509272541. The next prime is 4086509272583. The reversal of 4086509272560 is 652729056804.

4086509272560 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 5 + 0 + 9 + 2 + 72 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 4086509272497 and 4086509272506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11576513344 + ... + 11576513696.

Almost surely, 2^{4086509272560} is an apocalyptic number.

4086509272560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086509272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686666836936).

4086509272560 is an abundant number, since it is smaller than the sum of its proper divisors (13286824401312).

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

4086509272560 is a wasteful number, since it uses less digits than its factorization.

4086509272560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4086509272560 in words is "four trillion, eighty-six billion, five hundred nine million, two hundred seventy-two thousand, five hundred sixty".