49850564400 has 480 divisors, whose sum is σ = 218381022720. Its totient is φ = 10517713920.

The previous prime is 49850564399. The next prime is 49850564447. The reversal of 49850564400 is 446505894.

49850564400 is a `hidden beast` number, since 4 + 9 + 85 + 0 + 564 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 957439 + ... + 1008161.

It is an arithmetic number, because the mean of its divisors is an integer number (454960464).

Almost surely, 2^49850564400 is an apocalyptic number.

49850564400 is a gapful number since it is divisible by the number (40) 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 49850564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109190511360).

49850564400 is an abundant number, since it is smaller than the sum of its proper divisors (168530458320).

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

49850564400 is a wasteful number, since it uses less digits than its factorization.

49850564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50770 (or 50753 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 49850564400 in words is "forty-nine billion, eight hundred fifty million, five hundred sixty-four thousand, four hundred".