47256752743200 has 4608 divisors, whose sum is σ = 248162116608000. Its totient is φ = 8352394444800.

The previous prime is 47256752743177. The next prime is 47256752743241. The reversal of 47256752743200 is 234725765274.

47256752743200 is a `hidden beast` number, since 4 + 7 + 2 + 56 + 7 + 527 + 43 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 15199983246 + ... + 15199986354.

It is an arithmetic number, because the mean of its divisors is an integer number (53854626000).

Almost surely, 2^{47256752743200} is an apocalyptic number.

47256752743200 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 47256752743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124081058304000).

47256752743200 is an abundant number, since it is smaller than the sum of its proper divisors (200905363864800).

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

47256752743200 is a wasteful number, since it uses less digits than its factorization.

47256752743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 47256752743200 in words is "forty-seven trillion, two hundred fifty-six billion, seven hundred fifty-two million, seven hundred forty-three thousand, two hundred".