47205259920 has 1280 divisors, whose sum is σ = 211613122560. Its totient is φ = 9405849600.

The previous prime is 47205259903. The next prime is 47205259939. The reversal of 47205259920 is 2995250274.

47205259920 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 52 + 599 + 2 + 0 = 666.

It is a super-2 number, since 2×47205259920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 371694897 + ... + 371695023.

It is an arithmetic number, because the mean of its divisors is an integer number (165322752).

Almost surely, 2^47205259920 is an apocalyptic number.

47205259920 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 47205259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105806561280).

47205259920 is an abundant number, since it is smaller than the sum of its proper divisors (164407862640).

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

47205259920 is a wasteful number, since it uses less digits than its factorization.

47205259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 47205259920 in words is "forty-seven billion, two hundred five million, two hundred fifty-nine thousand, nine hundred twenty".