47731584000 has 176 divisors, whose sum is σ = 158774425056. Its totient is φ = 12728320000.

The previous prime is 47731583993. The next prime is 47731584013. The reversal of 47731584000 is 48513774.

It is a super-2 number, since 2×47731584000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47731584000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321850 + ... + 446150.

Almost surely, 2^47731584000 is an apocalyptic number.

47731584000 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 47731584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387212528).

47731584000 is an abundant number, since it is smaller than the sum of its proper divisors (111042841056).

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

47731584000 is a wasteful number, since it uses less digits than its factorization.

47731584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124339 (or 124311 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 47731584000 in words is "forty-seven billion, seven hundred thirty-one million, five hundred eighty-four thousand".