50381787456 has 1680 divisors, whose sum is σ = 217788500160. Its totient is φ = 11287019520.

The previous prime is 50381787433. The next prime is 50381787473. The reversal of 50381787456 is 65478718305.

It is a happy number.

50381787456 is a `hidden beast` number, since 503 + 8 + 1 + 7 + 87 + 4 + 56 = 666.

50381787456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 239 ways as a sum of consecutive naturals, for example, 690161436 + ... + 690161508.

It is an arithmetic number, because the mean of its divisors is an integer number (129636012).

Almost surely, 2^50381787456 is an apocalyptic number.

50381787456 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 50381787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108894250080).

50381787456 is an abundant number, since it is smaller than the sum of its proper divisors (167406712704).

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

50381787456 is a wasteful number, since it uses less digits than its factorization.

50381787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 50381787456 in words is "fifty billion, three hundred eighty-one million, seven hundred eighty-seven thousand, four hundred fifty-six".