515048987255040 has 1728 divisors, whose sum is σ = 2213842243092480. Its totient is φ = 107973420318720.

The previous prime is 515048987255027. The next prime is 515048987255053. The reversal of 515048987255040 is 40552789840515.

515048987255040 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 4 + 8 + 9 + 8 + 72 + 550 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (515048987255027) and next prime (515048987255053).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6267057789 + ... + 6267139971.

Almost surely, 2^{515048987255040} 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 515048987255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106921121546240).

515048987255040 is an abundant number, since it is smaller than the sum of its proper divisors (1698793255837440).

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

515048987255040 is a wasteful number, since it uses less digits than its factorization.

515048987255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82380 (or 82363 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 515048987255040 in words is "five hundred fifteen trillion, forty-eight billion, nine hundred eighty-seven million, two hundred fifty-five thousand, forty".