47772551457792 has 352 divisors, whose sum is σ = 170200536691200. Its totient is φ = 12930915188736.

The previous prime is 47772551457749. The next prime is 47772551457857. The reversal of 47772551457792 is 29775415527774.

47772551457792 is a `hidden beast` number, since 47 + 7 + 7 + 2 + 5 + 5 + 1 + 4 + 577 + 9 + 2 = 666.

47772551457792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 47772551457792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2818623 + ... + 10172990.

Almost surely, 2^{47772551457792} is an apocalyptic number.

47772551457792 is a gapful number since it is divisible by the number (42) 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 47772551457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85100268345600).

47772551457792 is an abundant number, since it is smaller than the sum of its proper divisors (122427985233408).

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

47772551457792 is a wasteful number, since it uses less digits than its factorization.

47772551457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991668 (or 12991644 counting only the distinct ones).

The product of its digits is 1210104000, while the sum is 72.

The spelling of 47772551457792 in words is "forty-seven trillion, seven hundred seventy-two billion, five hundred fifty-one million, four hundred fifty-seven thousand, seven hundred ninety-two".