517155455040000 has 4800 divisors, whose sum is σ = 2260897571687040. Its totient is φ = 104044953600000.

The previous prime is 517155455039989. The next prime is 517155455040001. The reversal of 517155455040000 is 40554551715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×517155455040000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (517155455040001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1534585919832 + ... + 1534585920168.

Almost surely, 2^{517155455040000} is an apocalyptic number.

517155455040000 is a gapful number since it is divisible by the number (50) 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 517155455040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130448785843520).

517155455040000 is an abundant number, since it is smaller than the sum of its proper divisors (1743742116647040).

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

517155455040000 is a wasteful number, since it uses less digits than its factorization.

517155455040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 350000, while the sum is 42.

The spelling of 517155455040000 in words is "five hundred seventeen trillion, one hundred fifty-five billion, four hundred fifty-five million, forty thousand".