47712008171520 has 3640 divisors, whose sum is σ = 220273637607792. Its totient is φ = 9914183516160.

The previous prime is 47712008171501. The next prime is 47712008171533. The reversal of 47712008171520 is 2517180021774.

It is a happy number.

47712008171520 is a `hidden beast` number, since 47 + 7 + 1 + 2 + 0 + 0 + 81 + 7 + 1 + 520 = 666.

It is a super-3 number, since 3×47712008171520³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 4337455288315 + ... + 4337455288325.

Almost surely, 2^{47712008171520} is an apocalyptic number.

47712008171520 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 47712008171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110136818803896).

47712008171520 is an abundant number, since it is smaller than the sum of its proper divisors (172561629436272).

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

47712008171520 is an frugal number, since it uses more digits than its factorization.

47712008171520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 47712008171520 in words is "forty-seven trillion, seven hundred twelve billion, eight million, one hundred seventy-one thousand, five hundred twenty".