505788906880 has 128 divisors (see below), whose sum is σ = 1282424996160. Its totient is φ = 190095360000.

The previous prime is 505788906809. The next prime is 505788906911. The reversal of 505788906880 is 88609887505.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×505788906880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6500205 + ... + 6577555.

Almost surely, 2^505788906880 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 505788906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641212498080).

505788906880 is an abundant number, since it is smaller than the sum of its proper divisors (776636089280).

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

505788906880 is a wasteful number, since it uses less digits than its factorization.

505788906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77988 (or 77976 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 64.

The spelling of 505788906880 in words is "five hundred five billion, seven hundred eighty-eight million, nine hundred six thousand, eight hundred eighty".