49807992200 has 108 divisors (see below), whose sum is σ = 118883248965. Its totient is φ = 19406842560.

The previous prime is 49807992139. The next prime is 49807992209. The reversal of 49807992200 is 229970894.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 48811832356 + 996159844 = 220934^2 + 31562^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=157810.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (49807992209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135716417 + ... + 135716783.

Almost surely, 2^49807992200 is an apocalyptic number.

49807992200 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 49807992200

49807992200 is an abundant number, since it is smaller than the sum of its proper divisors (69075256765).

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

49807992200 is an equidigital number, since it uses as much as digits as its factorization.

49807992200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

Multiplying 49807992200 by its sum of digits (50), we get a square (2490399610000 = 1578100²).

49807992200 divided by its sum of digits (50) gives a square (996159844 = 31562²).

The spelling of 49807992200 in words is "forty-nine billion, eight hundred seven million, nine hundred ninety-two thousand, two hundred".