515420309376 has 1344 divisors, whose sum is σ = 2001731130000. Its totient is φ = 130929426432.

The previous prime is 515420309333. The next prime is 515420309381. The reversal of 515420309376 is 673903024515.

515420309376 is a `hidden beast` number, since 5 + 1 + 542 + 0 + 30 + 9 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1476848850 + ... + 1476849198.

Almost surely, 2^515420309376 is an apocalyptic number.

515420309376 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 515420309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000865565000).

515420309376 is an abundant number, since it is smaller than the sum of its proper divisors (1486310820624).

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

515420309376 is a wasteful number, since it uses less digits than its factorization.

515420309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 515420309376 in words is "five hundred fifteen billion, four hundred twenty million, three hundred nine thousand, three hundred seventy-six".