516426526044 has 480 divisors, whose sum is σ = 1679684751360. Its totient is φ = 136020902400.

The previous prime is 516426526043. The next prime is 516426526051. The reversal of 516426526044 is 440625624615.

516426526044 is a `hidden beast` number, since 5 + 1 + 64 + 26 + 526 + 0 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516426526043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 152291589 + ... + 152294979.

It is an arithmetic number, because the mean of its divisors is an integer number (3499343232).

Almost surely, 2^516426526044 is an apocalyptic number.

516426526044 is a gapful number since it is divisible by the number (54) 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 516426526044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839842375680).

516426526044 is an abundant number, since it is smaller than the sum of its proper divisors (1163258225316).

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

516426526044 is a wasteful number, since it uses less digits than its factorization.

516426526044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 516426526044 in words is "five hundred sixteen billion, four hundred twenty-six million, five hundred twenty-six thousand, forty-four".