47412586915200 has 2304 divisors, whose sum is σ = 200447430543360. Its totient is φ = 10977074380800.

The previous prime is 47412586915159. The next prime is 47412586915207. The reversal of 47412586915200 is 251968521474.

47412586915200 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 2 + 58 + 69 + 1 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47412586915207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14182644729 + ... + 14182648071.

It is an arithmetic number, because the mean of its divisors is an integer number (86999752840).

Almost surely, 2^{47412586915200} is an apocalyptic number.

47412586915200 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 47412586915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100223715271680).

47412586915200 is an abundant number, since it is smaller than the sum of its proper divisors (153034843628160).

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

47412586915200 is a wasteful number, since it uses less digits than its factorization.

47412586915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 47412586915200 in words is "forty-seven trillion, four hundred twelve billion, five hundred eighty-six million, nine hundred fifteen thousand, two hundred".