50137424064 has 784 divisors, whose sum is σ = 188116667200. Its totient is φ = 13168189440.

The previous prime is 50137424059. The next prime is 50137424107. The reversal of 50137424064 is 46042473105.

50137424064 is a `hidden beast` number, since 501 + 3 + 74 + 24 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a super-2 number, since 2×50137424064² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 208038984 + ... + 208039224.

Almost surely, 2^50137424064 is an apocalyptic number.

50137424064 is a gapful number since it is divisible by the number (54) 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 50137424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058333600).

50137424064 is an abundant number, since it is smaller than the sum of its proper divisors (137979243136).

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

50137424064 is an equidigital number, since it uses as much as digits as its factorization.

50137424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 50137424064 its reverse (46042473105), we get a palindrome (96179897169).

The spelling of 50137424064 in words is "fifty billion, one hundred thirty-seven million, four hundred twenty-four thousand, sixty-four".