47480409612800 has 360 divisors, whose sum is σ = 119974036990500. Its totient is φ = 18621236674560.

The previous prime is 47480409612793. The next prime is 47480409612803. The reversal of 47480409612800 is 821690408474.

It can be written as a sum of positive squares in 6 ways, for example, as 7585926113536 + 39894483499264 = 2754256^2 + 6316208^2 .

It is not an unprimeable number, because it can be changed into a prime (47480409612803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11902833206 + ... + 11902837194.

Almost surely, 2^{47480409612800} is an apocalyptic number.

47480409612800 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 47480409612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59987018495250).

47480409612800 is an abundant number, since it is smaller than the sum of its proper divisors (72493627377700).

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

47480409612800 is an equidigital number, since it uses as much as digits as its factorization.

47480409612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 47480409612800 in words is "forty-seven trillion, four hundred eighty billion, four hundred nine million, six hundred twelve thousand, eight hundred".