47201533920 has 384 divisors, whose sum is σ = 167894415360. Its totient is φ = 12384000000.

The previous prime is 47201533903. The next prime is 47201533933. The reversal of 47201533920 is 2933510274.

47201533920 is a `hidden beast` number, since 472 + 0 + 153 + 39 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109516105 + ... + 109516535.

It is an arithmetic number, because the mean of its divisors is an integer number (437225040).

Almost surely, 2^47201533920 is an apocalyptic number.

47201533920 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 47201533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83947207680).

47201533920 is an abundant number, since it is smaller than the sum of its proper divisors (120692881440).

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

47201533920 is a wasteful number, since it uses less digits than its factorization.

47201533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 47201533920 in words is "forty-seven billion, two hundred one million, five hundred thirty-three thousand, nine hundred twenty".