47583779443200 has 11520 divisors, whose sum is σ = 268090681098240. Its totient is φ = 8026324992000.

The previous prime is 47583779443129. The next prime is 47583779443243. The reversal of 47583779443200 is 234497738574.

47583779443200 is a `hidden beast` number, since 4 + 7 + 58 + 377 + 9 + 4 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 1151 ways as a sum of consecutive naturals, for example, 1534960627185 + ... + 1534960627215.

It is an arithmetic number, because the mean of its divisors is an integer number (23271760512).

Almost surely, 2^{47583779443200} is an apocalyptic number.

47583779443200 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 47583779443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134045340549120).

47583779443200 is an abundant number, since it is smaller than the sum of its proper divisors (220506901655040).

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

47583779443200 is a wasteful number, since it uses less digits than its factorization.

47583779443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 47583779443200 in words is "forty-seven trillion, five hundred eighty-three billion, seven hundred seventy-nine million, four hundred forty-three thousand, two hundred".