515877948375552 has 1120 divisors, whose sum is σ = 1792952524408320. Its totient is φ = 145166120386560.

The previous prime is 515877948375481. The next prime is 515877948375563. The reversal of 515877948375552 is 255573849778515.

515877948375552 is a `hidden beast` number, since 5 + 1 + 5 + 87 + 7 + 9 + 483 + 7 + 5 + 5 + 52 = 666.

It is a super-2 number, since 2×515877948375552² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 173754780724 + ... + 173754783692.

Almost surely, 2^{515877948375552} 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 515877948375552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896476262204160).

515877948375552 is an abundant number, since it is smaller than the sum of its proper divisors (1277074576032768).

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

515877948375552 is an frugal number, since it uses more digits than its factorization.

515877948375552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3965 counting only the distinct ones).

The product of its digits is 14817600000, while the sum is 81.

The spelling of 515877948375552 in words is "five hundred fifteen trillion, eight hundred seventy-seven billion, nine hundred forty-eight million, three hundred seventy-five thousand, five hundred fifty-two".