47261323200 has 1512 divisors, whose sum is σ = 206976908880. Its totient is φ = 9392947200.

The previous prime is 47261323199. The next prime is 47261323211. The reversal of 47261323200 is 232316274.

It is a super-2 number, since 2×47261323200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1152715180 + ... + 1152715220.

It is an arithmetic number, because the mean of its divisors is an integer number (136889490).

Almost surely, 2^47261323200 is an apocalyptic number.

47261323200 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 47261323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488454440).

47261323200 is an abundant number, since it is smaller than the sum of its proper divisors (159715585680).

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

47261323200 is a wasteful number, since it uses less digits than its factorization.

47261323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 47261323200 its reverse (232316274), we get a palindrome (47493639474).

The spelling of 47261323200 in words is "forty-seven billion, two hundred sixty-one million, three hundred twenty-three thousand, two hundred".