47055072508900 has 81 divisors (see below), whose sum is σ = 108471957257307. Its totient is φ = 17714411808000.

The previous prime is 47055072508877. The next prime is 47055072508901. The reversal of 47055072508900 is 980527055074.

It is a happy number.

The square root of 47055072508900 is 6859670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1100665363876 + 45954407145024 = 1049126^2 + 6778968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47055072508901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1166123725 + ... + 1166164075.

Almost surely, 2^{47055072508900} is an apocalyptic number.

47055072508900 is the 6859670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47055072508900

47055072508900 is an abundant number, since it is smaller than the sum of its proper divisors (61416884748407).

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

47055072508900 is an frugal number, since it uses more digits than its factorization.

47055072508900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80750 (or 40375 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 52.

The spelling of 47055072508900 in words is "forty-seven trillion, fifty-five billion, seventy-two million, five hundred eight thousand, nine hundred".