47553682104720 has 480 divisors, whose sum is σ = 180744705348480. Its totient is φ = 11523524382720.

The previous prime is 47553682104707. The next prime is 47553682104739. The reversal of 47553682104720 is 2740128635574.

47553682104720 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 368 + 210 + 47 + 20 = 666.

47553682104720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47553682104720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 546745396 + ... + 546832364.

It is an arithmetic number, because the mean of its divisors is an integer number (376551469476).

Almost surely, 2^{47553682104720} is an apocalyptic number.

47553682104720 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 47553682104720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90372352674240).

47553682104720 is an abundant number, since it is smaller than the sum of its proper divisors (133191023243760).

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

47553682104720 is a wasteful number, since it uses less digits than its factorization.

47553682104720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89565 (or 89547 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 47553682104720 in words is "forty-seven trillion, five hundred fifty-three billion, six hundred eighty-two million, one hundred four thousand, seven hundred twenty".