516134021400 has 72 divisors (see below), whose sum is σ = 1733350094580. Its totient is φ = 137635738560.

The previous prime is 516134021393. The next prime is 516134021441. The reversal of 516134021400 is 4120431615.

It is a happy number.

516134021400 is a `hidden beast` number, since 5 + 1 + 613 + 4 + 0 + 2 + 1 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 143368762 + ... + 143372361.

Almost surely, 2^516134021400 is an apocalyptic number.

516134021400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516134021400 is an abundant number, since it is smaller than the sum of its proper divisors (1217216073180).

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

516134021400 is a wasteful number, since it uses less digits than its factorization.

516134021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286741145 (or 286741133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 516134021400 in words is "five hundred sixteen billion, one hundred thirty-four million, twenty-one thousand, four hundred".