47005286400 has 540 divisors, whose sum is σ = 173039643504. Its totient is φ = 12189696000.

The previous prime is 47005286389. The next prime is 47005286401. The reversal of 47005286400 is 468250074.

47005286400 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 5 + 2 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47005286401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151142245 + ... + 151142555.

Almost surely, 2^47005286400 is an apocalyptic number.

47005286400 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 47005286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86519821752).

47005286400 is an abundant number, since it is smaller than the sum of its proper divisors (126034357104).

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

47005286400 is a wasteful number, since it uses less digits than its factorization.

47005286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 47005286400 in words is "forty-seven billion, five million, two hundred eighty-six thousand, four hundred".