516142153296 has 320 divisors, whose sum is σ = 1853695641600. Its totient is φ = 133583385600.

The previous prime is 516142153223. The next prime is 516142153327. The reversal of 516142153296 is 692351241615.

It is a happy number.

516142153296 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 4 + 21 + 532 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9319575 + ... + 9374793.

It is an arithmetic number, because the mean of its divisors is an integer number (5792798880).

Almost surely, 2^516142153296 is an apocalyptic number.

516142153296 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 516142153296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926847820800).

516142153296 is an abundant number, since it is smaller than the sum of its proper divisors (1337553488304).

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

516142153296 is a wasteful number, since it uses less digits than its factorization.

516142153296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55535 (or 55523 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 516142153296 in words is "five hundred sixteen billion, one hundred forty-two million, one hundred fifty-three thousand, two hundred ninety-six".