50991283728 has 960 divisors, whose sum is σ = 196827402240. Its totient is φ = 12344555520.

The previous prime is 50991283621. The next prime is 50991283939. The reversal of 50991283728 is 82738219905.

50991283728 is a `hidden beast` number, since 509 + 9 + 128 + 3 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×50991283728² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 614352775 + ... + 614352857.

It is an arithmetic number, because the mean of its divisors is an integer number (205028544).

Almost surely, 2^50991283728 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 50991283728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98413701120).

50991283728 is an abundant number, since it is smaller than the sum of its proper divisors (145836118512).

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

50991283728 is a wasteful number, since it uses less digits than its factorization.

50991283728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 50991283728 in words is "fifty billion, nine hundred ninety-one million, two hundred eighty-three thousand, seven hundred twenty-eight".