47055052800 has 756 divisors, whose sum is σ = 196446292146. Its totient is φ = 10734796800.

The previous prime is 47055052769. The next prime is 47055052831. The reversal of 47055052800 is 825055074.

It is a happy number.

47055052800 is a `hidden beast` number, since 4 + 70 + 5 + 505 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47055052769) and next prime (47055052831).

It can be written as a sum of positive squares in 3 ways, for example, as 30059237376 + 16995815424 = 173376^2 + 130368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 53 ways as a sum of consecutive naturals, for example, 90316540 + ... + 90317060.

Almost surely, 2^47055052800 is an apocalyptic number.

47055052800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47055052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98223146073).

47055052800 is an abundant number, since it is smaller than the sum of its proper divisors (149391239346).

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

47055052800 is a wasteful number, since it uses less digits than its factorization.

47055052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

It can be divided in two parts, 4705 and 5052800, that added together give a palindrome (5057505).

The spelling of 47055052800 in words is "forty-seven billion, fifty-five million, fifty-two thousand, eight hundred".