511161253560 has 320 divisors, whose sum is σ = 1750576212000. Its totient is φ = 133753089024.

The previous prime is 511161253531. The next prime is 511161253583. The reversal of 511161253560 is 65352161115.

511161253560 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 61 + 2 + 535 + 60 = 666.

It is a super-2 number, since 2×511161253560² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40062702 + ... + 40075458.

Almost surely, 2^511161253560 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 511161253560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875288106000).

511161253560 is an abundant number, since it is smaller than the sum of its proper divisors (1239414958440).

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

511161253560 is a wasteful number, since it uses less digits than its factorization.

511161253560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 511161253560 in words is "five hundred eleven billion, one hundred sixty-one million, two hundred fifty-three thousand, five hundred sixty".