50103849600 has 576 divisors, whose sum is σ = 205753616640. Its totient is φ = 11372175360.

The previous prime is 50103849583. The next prime is 50103849613. The reversal of 50103849600 is 694830105.

50103849600 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 3 + 8 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 31650409 + ... + 31651991.

It is an arithmetic number, because the mean of its divisors is an integer number (357211140).

Almost surely, 2^50103849600 is an apocalyptic number.

50103849600 is a gapful number since it is divisible by the number (50) 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 50103849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876808320).

50103849600 is an abundant number, since it is smaller than the sum of its proper divisors (155649767040).

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

50103849600 is a wasteful number, since it uses less digits than its factorization.

50103849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 50103849600 in words is "fifty billion, one hundred three million, eight hundred forty-nine thousand, six hundred".