516269064150 has 864 divisors, whose sum is σ = 1794957615360. Its totient is φ = 109715316480.

The previous prime is 516269064119. The next prime is 516269064151. The reversal of 516269064150 is 51460962615.

516269064150 is a `hidden beast` number, since 5 + 1 + 626 + 9 + 0 + 6 + 4 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 516269064096 and 516269064105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516269064151) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 506642341 + ... + 506643359.

It is an arithmetic number, because the mean of its divisors is an integer number (2077497240).

Almost surely, 2^516269064150 is an apocalyptic number.

516269064150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516269064150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897478807680).

516269064150 is an abundant number, since it is smaller than the sum of its proper divisors (1278688551210).

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

516269064150 is a wasteful number, since it uses less digits than its factorization.

516269064150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1096 counting only the distinct ones).

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

The spelling of 516269064150 in words is "five hundred sixteen billion, two hundred sixty-nine million, sixty-four thousand, one hundred fifty".