47975011200 has 288 divisors, whose sum is σ = 171541914960. Its totient is φ = 12766740480.

The previous prime is 47975011187. The next prime is 47975011243. The reversal of 47975011200 is 211057974.

It is a happy number.

47975011200 is a `hidden beast` number, since 47 + 97 + 501 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16616157 + ... + 16619043.

Almost surely, 2^47975011200 is an apocalyptic number.

47975011200 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 47975011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85770957480).

47975011200 is an abundant number, since it is smaller than the sum of its proper divisors (123566903760).

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

47975011200 is a wasteful number, since it uses less digits than its factorization.

47975011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 47975011200 in words is "forty-seven billion, nine hundred seventy-five million, eleven thousand, two hundred".