507894266880 has 2376 divisors, whose sum is σ = 2438256931344. Its totient is φ = 97418280960.

The previous prime is 507894266851. The next prime is 507894266911. The reversal of 507894266880 is 88662498705.

507894266880 is a `hidden beast` number, since 5 + 0 + 78 + 9 + 426 + 68 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 39068789754 + ... + 39068789766.

Almost surely, 2^507894266880 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 507894266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219128465672).

507894266880 is an abundant number, since it is smaller than the sum of its proper divisors (1930362664464).

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

507894266880 is a wasteful number, since it uses less digits than its factorization.

507894266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 507894266880 in words is "five hundred seven billion, eight hundred ninety-four million, two hundred sixty-six thousand, eight hundred eighty".