48779139600 has 315 divisors, whose sum is σ = 176138098743. Its totient is φ = 12975966720.

The previous prime is 48779139581. The next prime is 48779139631. The reversal of 48779139600 is 693197784.

It is a happy number.

The square root of 48779139600 is 220860.

It is a perfect power (a square), and thus also a powerful number.

48779139600 is a `hidden beast` number, since 487 + 79 + 1 + 3 + 96 + 0 + 0 = 666.

48779139600 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 4 ways, for example, as 5601624336 + 43177515264 = 74844^2 + 207792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 119264196 + ... + 119264604.

Almost surely, 2^48779139600 is an apocalyptic number.

48779139600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48779139600 is the 220860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48779139600

48779139600 is an abundant number, since it is smaller than the sum of its proper divisors (127358959143).

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

48779139600 is an frugal number, since it uses more digits than its factorization.

48779139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 48779139600 in words is "forty-eight billion, seven hundred seventy-nine million, one hundred thirty-nine thousand, six hundred".