47882045030400 has 3264 divisors, whose sum is σ = 214942682787840. Its totient is φ = 10342493061120.

The previous prime is 47882045030311. The next prime is 47882045030411. The reversal of 47882045030400 is 403054028874.

It is a happy number.

47882045030400 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 204 + 5 + 0 + 30 + 400 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 576892108759 + ... + 576892108841.

Almost surely, 2^{47882045030400} is an apocalyptic number.

47882045030400 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 47882045030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107471341393920).

47882045030400 is an abundant number, since it is smaller than the sum of its proper divisors (167060637757440).

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

47882045030400 is an frugal number, since it uses more digits than its factorization.

47882045030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 47882045030400 in words is "forty-seven trillion, eight hundred eighty-two billion, forty-five million, thirty thousand, four hundred".