50776401312 has 1152 divisors, whose sum is σ = 201836033280. Its totient is φ = 12415721472.

The previous prime is 50776401311. The next prime is 50776401323. The reversal of 50776401312 is 21310467705.

It is a happy number.

50776401312 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 640 + 1 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50776401311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 757856703 + ... + 757856769.

It is an arithmetic number, because the mean of its divisors is an integer number (175204890).

Almost surely, 2^50776401312 is an apocalyptic number.

50776401312 is a gapful number since it is divisible by the number (52) 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 50776401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100918016640).

50776401312 is an abundant number, since it is smaller than the sum of its proper divisors (151059631968).

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

50776401312 is a wasteful number, since it uses less digits than its factorization.

50776401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 50776401312 in words is "fifty billion, seven hundred seventy-six million, four hundred one thousand, three hundred twelve".