47279563315200 has 288 divisors, whose sum is σ = 173666213557200. Its totient is φ = 12607883182080.

The previous prime is 47279563315183. The next prime is 47279563315247. The reversal of 47279563315200 is 251336597274.

47279563315200 is a `hidden beast` number, since 4 + 7 + 2 + 79 + 56 + 3 + 315 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×47279563315200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 15718137 + ... + 18482936.

Almost surely, 2^{47279563315200} is an apocalyptic number.

47279563315200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47279563315200 is an abundant number, since it is smaller than the sum of its proper divisors (126386650242000).

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

47279563315200 is a wasteful number, since it uses less digits than its factorization.

47279563315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34201114 (or 34201083 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 47279563315200 in words is "forty-seven trillion, two hundred seventy-nine billion, five hundred sixty-three million, three hundred fifteen thousand, two hundred".