47785090129920 has 4704 divisors, whose sum is σ = 220064038838784. Its totient is φ = 9803582668800.

The previous prime is 47785090129919. The next prime is 47785090129999. The reversal of 47785090129920 is 2992109058774.

47785090129920 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 509 + 0 + 12 + 99 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1541454520305 + ... + 1541454520335.

Almost surely, 2^{47785090129920} is an apocalyptic number.

47785090129920 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 47785090129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110032019419392).

47785090129920 is an abundant number, since it is smaller than the sum of its proper divisors (172278948708864).

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

47785090129920 is a wasteful number, since it uses less digits than its factorization.

47785090129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 47785090129920 in words is "forty-seven trillion, seven hundred eighty-five billion, ninety million, one hundred twenty-nine thousand, nine hundred twenty".