47312251200 has 672 divisors, whose sum is σ = 190623870720. Its totient is φ = 11354112000.

The previous prime is 47312251187. The next prime is 47312251211. The reversal of 47312251200 is 215221374.

47312251200 is a `hidden beast` number, since 473 + 122 + 51 + 20 + 0 = 666.

It is a super-2 number, since 2×47312251200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16889800 + ... + 16892600.

Almost surely, 2^47312251200 is an apocalyptic number.

47312251200 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 47312251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95311935360).

47312251200 is an abundant number, since it is smaller than the sum of its proper divisors (143311619520).

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

47312251200 is a wasteful number, since it uses less digits than its factorization.

47312251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 47312251200 its reverse (215221374), we get a palindrome (47527472574).

The spelling of 47312251200 in words is "forty-seven billion, three hundred twelve million, two hundred fifty-one thousand, two hundred".