49777321600 has 48 divisors (see below), whose sum is σ = 122965547670. Its totient is φ = 19910927360.

The previous prime is 49777321577. The next prime is 49777321619. The reversal of 49777321600 is 612377794.

49777321600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 33395369536 + 16381952064 = 182744^2 + 127992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7774507 + ... + 7780906.

Almost surely, 2^49777321600 is an apocalyptic number.

49777321600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49777321600 is an abundant number, since it is smaller than the sum of its proper divisors (73188226070).

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

49777321600 is a wasteful number, since it uses less digits than its factorization.

49777321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15555437 (or 15555420 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 49777321600 in words is "forty-nine billion, seven hundred seventy-seven million, three hundred twenty-one thousand, six hundred".