511534604616 has 128 divisors (see below), whose sum is σ = 1481445504000. Its totient is φ = 144172783872.

The previous prime is 511534604597. The next prime is 511534604641. The reversal of 511534604616 is 616406435115.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4095295 + ... + 4218353.

It is an arithmetic number, because the mean of its divisors is an integer number (11573793000).

Almost surely, 2^511534604616 is an apocalyptic number.

511534604616 is a gapful number since it is divisible by the number (56) 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 511534604616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740722752000).

511534604616 is an abundant number, since it is smaller than the sum of its proper divisors (969910899384).

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

511534604616 is a wasteful number, since it uses less digits than its factorization.

511534604616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123411 (or 123407 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 511534604616 in words is "five hundred eleven billion, five hundred thirty-four million, six hundred four thousand, six hundred sixteen".