47937800473200 has 450 divisors, whose sum is σ = 189107240523432. Its totient is φ = 11621284012800.

The previous prime is 47937800473187. The next prime is 47937800473243. The reversal of 47937800473200 is 237400873974.

47937800473200 is a `hidden beast` number, since 4 + 7 + 93 + 7 + 80 + 0 + 473 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-3 number, since 3×47937800473200³ (a number of 42 digits) contains 333 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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2193492 + ... + 10034291.

Almost surely, 2^{47937800473200} is an apocalyptic number.

47937800473200 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 47937800473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94553620261716).

47937800473200 is an abundant number, since it is smaller than the sum of its proper divisors (141169440050232).

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

47937800473200 is a wasteful number, since it uses less digits than its factorization.

47937800473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227835 (or 12227804 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 47937800473200 in words is "forty-seven trillion, nine hundred thirty-seven billion, eight hundred million, four hundred seventy-three thousand, two hundred".