511180151120 has 160 divisors (see below), whose sum is σ = 1294993305600. Its totient is φ = 186988290048.

The previous prime is 511180151117. The next prime is 511180151147. The reversal of 511180151120 is 21151081115.

It is a super-2 number, since 2×511180151120² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511180151120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7106696 + ... + 7178264.

It is an arithmetic number, because the mean of its divisors is an integer number (8093708160).

Almost surely, 2^511180151120 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 511180151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647496652800).

511180151120 is an abundant number, since it is smaller than the sum of its proper divisors (783813154480).

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

511180151120 is a wasteful number, since it uses less digits than its factorization.

511180151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71765 (or 71759 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 26.

The spelling of 511180151120 in words is "five hundred eleven billion, one hundred eighty million, one hundred fifty-one thousand, one hundred twenty".