505375911936 has 416 divisors, whose sum is σ = 1770199603200. Its totient is φ = 139407851520.

The previous prime is 505375911917. The next prime is 505375911941. The reversal of 505375911936 is 639119573505.

505375911936 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 7 + 591 + 19 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22438921 + ... + 22461431.

Almost surely, 2^505375911936 is an apocalyptic number.

505375911936 is a gapful number since it is divisible by the number (56) 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 505375911936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885099801600).

505375911936 is an abundant number, since it is smaller than the sum of its proper divisors (1264823691264).

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

505375911936 is a wasteful number, since it uses less digits than its factorization.

505375911936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22580 (or 22552 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 54.

The spelling of 505375911936 in words is "five hundred five billion, three hundred seventy-five million, nine hundred eleven thousand, nine hundred thirty-six".