505897151760 has 960 divisors, whose sum is σ = 2354825281536. Its totient is φ = 93900902400.

The previous prime is 505897151743. The next prime is 505897151801. The reversal of 505897151760 is 67151798505.

It is a happy number.

505897151760 is a `hidden beast` number, since 5 + 0 + 58 + 9 + 71 + 517 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 505897151697 and 505897151706.

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, 22330999 + ... + 22353641.

Almost surely, 2^505897151760 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 505897151760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177412640768).

505897151760 is an abundant number, since it is smaller than the sum of its proper divisors (1848928129776).

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

505897151760 is a wasteful number, since it uses less digits than its factorization.

505897151760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22724 (or 22715 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 54.

The spelling of 505897151760 in words is "five hundred five billion, eight hundred ninety-seven million, one hundred fifty-one thousand, seven hundred sixty".