47281956019200 has 792 divisors, whose sum is σ = 195650795003040. Its totient is φ = 10685841408000.

The previous prime is 47281956019159. The next prime is 47281956019217. The reversal of 47281956019200 is 291065918274.

It is a happy number.

47281956019200 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 1 + 9 + 5 + 601 + 9 + 20 + 0 = 666.

It is a super-2 number, since 2×47281956019200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143374500 + ... + 143703900.

Almost surely, 2^{47281956019200} is an apocalyptic number.

47281956019200 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 47281956019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97825397501520).

47281956019200 is an abundant number, since it is smaller than the sum of its proper divisors (148368838983840).

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

47281956019200 is a wasteful number, since it uses less digits than its factorization.

47281956019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329533 (or 329507 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 47281956019200 in words is "forty-seven trillion, two hundred eighty-one billion, nine hundred fifty-six million, nineteen thousand, two hundred".