47763136512000 has 4080 divisors, whose sum is σ = 225073479142512. Its totient is φ = 9988315545600.

The previous prime is 47763136511971. The next prime is 47763136512041. The reversal of 47763136512000 is 21563136774.

47763136512000 is a `hidden beast` number, since 4 + 7 + 7 + 631 + 3 + 6 + 5 + 1 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38956771639296 + 8806364872704 = 6241536^2 + 2967552^2 .

It is a super-2 number, since 2×47763136512000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 422682623944 + ... + 422682624056.

Almost surely, 2^{47763136512000} is an apocalyptic number.

47763136512000 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 47763136512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112536739571256).

47763136512000 is an abundant number, since it is smaller than the sum of its proper divisors (177310342630512).

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

47763136512000 is an equidigital number, since it uses as much as digits as its factorization.

47763136512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 47763136512000 its reverse (21563136774), we get a palindrome (47784699648774).

The spelling of 47763136512000 in words is "forty-seven trillion, seven hundred sixty-three billion, one hundred thirty-six million, five hundred twelve thousand".