47587201920 has 320 divisors, whose sum is σ = 170482514400. Its totient is φ = 12649623552.

The previous prime is 47587201903. The next prime is 47587201933. The reversal of 47587201920 is 2910278574.

It is a happy number.

47587201920 is a `hidden beast` number, since 47 + 587 + 2 + 0 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18609282 + ... + 18611838.

Almost surely, 2^47587201920 is an apocalyptic number.

47587201920 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 47587201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85241257200).

47587201920 is an abundant number, since it is smaller than the sum of its proper divisors (122895312480).

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

47587201920 is a wasteful number, since it uses less digits than its factorization.

47587201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 47587201920 in words is "forty-seven billion, five hundred eighty-seven million, two hundred one thousand, nine hundred twenty".