47675153203200 has 1080 divisors, whose sum is σ = 173191766267520. Its totient is φ = 12535175577600.

The previous prime is 47675153203199. The next prime is 47675153203211. The reversal of 47675153203200 is 230235157674.

47675153203200 is a `hidden beast` number, since 4 + 7 + 67 + 51 + 532 + 0 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129905049417 + ... + 129905049783.

It is an arithmetic number, because the mean of its divisors is an integer number (160362746544).

Almost surely, 2^{47675153203200} is an apocalyptic number.

47675153203200 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 47675153203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86595883133760).

47675153203200 is an abundant number, since it is smaller than the sum of its proper divisors (125516613064320).

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

47675153203200 is a wasteful number, since it uses less digits than its factorization.

47675153203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 47675153203200 in words is "forty-seven trillion, six hundred seventy-five billion, one hundred fifty-three million, two hundred three thousand, two hundred".