47510920900 has 81 divisors (see below), whose sum is σ = 104912977197. Its totient is φ = 18675669600.

The previous prime is 47510920889. The next prime is 47510920927. The reversal of 47510920900 is 902901574.

The square root of 47510920900 is 217970.

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

It can be written as a sum of positive squares in only one way, i.e., 17103931524 + 30406989376 = 130782^2 + 174376^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47510920900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154758547 + ... + 154758853.

Almost surely, 2^47510920900 is an apocalyptic number.

47510920900 is the 217970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47510920900

47510920900 is an abundant number, since it is smaller than the sum of its proper divisors (57402056297).

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

47510920900 is an equidigital number, since it uses as much as digits as its factorization.

47510920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 47510920900 in words is "forty-seven billion, five hundred ten million, nine hundred twenty thousand, nine hundred".