50311633680 has 1920 divisors, whose sum is σ = 241784524800. Its totient is φ = 9405849600.

The previous prime is 50311633643. The next prime is 50311633693. The reversal of 50311633680 is 8633611305.

It is a happy number.

50311633680 is a `hidden beast` number, since 5 + 0 + 3 + 11 + 633 + 6 + 8 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 824780850 + ... + 824780910.

It is an arithmetic number, because the mean of its divisors is an integer number (125929440).

Almost surely, 2^50311633680 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 50311633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120892262400).

50311633680 is an abundant number, since it is smaller than the sum of its proper divisors (191472891120).

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

50311633680 is a wasteful number, since it uses less digits than its factorization.

50311633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 50311633680 in words is "fifty billion, three hundred eleven million, six hundred thirty-three thousand, six hundred eighty".