516407426400 has 288 divisors, whose sum is σ = 1756465579008. Its totient is φ = 131535360000.

The previous prime is 516407426393. The next prime is 516407426411. The reversal of 516407426400 is 4624704615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41448972 + ... + 41461428.

It is an arithmetic number, because the mean of its divisors is an integer number (6098838816).

Almost surely, 2^516407426400 is an apocalyptic number.

516407426400 is a gapful number since it is divisible by the number (50) 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 516407426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878232789504).

516407426400 is an abundant number, since it is smaller than the sum of its proper divisors (1240058152608).

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

516407426400 is a wasteful number, since it uses less digits than its factorization.

516407426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13254 (or 13241 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 516407426400 in words is "five hundred sixteen billion, four hundred seven million, four hundred twenty-six thousand, four hundred".