47779559100 has 1728 divisors, whose sum is σ = 214018301952. Its totient is φ = 8957952000.

The previous prime is 47779559089. The next prime is 47779559119. The reversal of 47779559100 is 195597774.

It is a happy number.

47779559100 is a `hidden beast` number, since 4 + 7 + 7 + 79 + 559 + 10 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1165355080 + ... + 1165355120.

It is an arithmetic number, because the mean of its divisors is an integer number (123853184).

Almost surely, 2^47779559100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47779559100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107009150976).

47779559100 is an abundant number, since it is smaller than the sum of its proper divisors (166238742852).

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

47779559100 is a wasteful number, since it uses less digits than its factorization.

47779559100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 47779559100 in words is "forty-seven billion, seven hundred seventy-nine million, five hundred fifty-nine thousand, one hundred".