519380645672 has 128 divisors (see below), whose sum is σ = 1142953493760. Its totient is φ = 216665180160.

The previous prime is 519380645653. The next prime is 519380645689. The reversal of 519380645672 is 276546083915.

It is a super-2 number, since 2×519380645672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350695172 + ... + 350696652.

It is an arithmetic number, because the mean of its divisors is an integer number (8929324170).

It is a 1-persistent number, because it is pandigital, but 2⋅519380645672 = 1038761291344 is not.

Almost surely, 2^519380645672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 519380645672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571476746880).

519380645672 is an abundant number, since it is smaller than the sum of its proper divisors (623572848088).

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

519380645672 is a wasteful number, since it uses less digits than its factorization.

519380645672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 519380645672 in words is "five hundred nineteen billion, three hundred eighty million, six hundred forty-five thousand, six hundred seventy-two".