511200032256 has 160 divisors (see below), whose sum is σ = 1554086112480. Its totient is φ = 165794439168.

The previous prime is 511200032221. The next prime is 511200032297. The reversal of 511200032256 is 652230002115.

It is a happy number.

It is a super-2 number, since 2×511200032256² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11770 + ... + 1011206.

It is an arithmetic number, because the mean of its divisors is an integer number (9713038203).

Almost surely, 2^511200032256 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 511200032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777043056240).

511200032256 is an abundant number, since it is smaller than the sum of its proper divisors (1042886080224).

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

511200032256 is an equidigital number, since it uses as much as digits as its factorization.

511200032256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999501 (or 999479 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 511200032256 in words is "five hundred eleven billion, two hundred million, thirty-two thousand, two hundred fifty-six".