47557706900 has 54 divisors (see below), whose sum is σ = 113434985790. Its totient is φ = 17293707200.

The previous prime is 47557706893. The next prime is 47557706921. The reversal of 47557706900 is 960775574.

It can be written as a sum of positive squares in 3 ways, for example, as 675064324 + 46882642576 = 25982^2 + 216524^2 .

It is a super-2 number, since 2×47557706900² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1953095 + ... + 1977294.

It is an arithmetic number, because the mean of its divisors is an integer number (2100647885).

Almost surely, 2^47557706900 is an apocalyptic number.

It is an amenable number.

47557706900 is an abundant number, since it is smaller than the sum of its proper divisors (65877278890).

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

47557706900 is a wasteful number, since it uses less digits than its factorization.

47557706900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930425 (or 3930407 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 50.

It can be divided in two parts, 47557 and 706900, that added together give a palindrome (754457).

The spelling of 47557706900 in words is "forty-seven billion, five hundred fifty-seven million, seven hundred six thousand, nine hundred".