50285587968 has 960 divisors, whose sum is σ = 195182507520. Its totient is φ = 12541132800.

The previous prime is 50285587951. The next prime is 50285587981. The reversal of 50285587968 is 86978558205.

50285587968 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 558 + 79 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277820838 + ... + 277821018.

It is an arithmetic number, because the mean of its divisors is an integer number (203315112).

Almost surely, 2^50285587968 is an apocalyptic number.

50285587968 is a gapful number since it is divisible by the number (58) 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 50285587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97591253760).

50285587968 is an abundant number, since it is smaller than the sum of its proper divisors (144896919552).

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

50285587968 is a wasteful number, since it uses less digits than its factorization.

50285587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 50285587968 in words is "fifty billion, two hundred eighty-five million, five hundred eighty-seven thousand, nine hundred sixty-eight".