520772136192 has 1080 divisors, whose sum is σ = 1973645520000. Its totient is φ = 133682503680.

The previous prime is 520772136161. The next prime is 520772136251. The reversal of 520772136192 is 291631277025.

It is a happy number.

520772136192 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 7 + 21 + 3 + 619 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2616945309 + ... + 2616945507.

Almost surely, 2^520772136192 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 520772136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986822760000).

520772136192 is an abundant number, since it is smaller than the sum of its proper divisors (1452873383808).

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

520772136192 is a wasteful number, since it uses less digits than its factorization.

520772136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 520772136192 in words is "five hundred twenty billion, seven hundred seventy-two million, one hundred thirty-six thousand, one hundred ninety-two".