47520535680 has 288 divisors, whose sum is σ = 170412070140. Its totient is φ = 12671023104.

The previous prime is 47520535631. The next prime is 47520535723. The reversal of 47520535680 is 8653502574.

47520535680 is a `hidden beast` number, since 4 + 7 + 52 + 0 + 535 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44899914816 + 2620620864 = 211896^2 + 51192^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×47520535680² (a number of 22 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4193382 + ... + 4204698.

Almost surely, 2^47520535680 is an apocalyptic number.

47520535680 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 47520535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85206035070).

47520535680 is an abundant number, since it is smaller than the sum of its proper divisors (122891534460).

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

47520535680 is an frugal number, since it uses more digits than its factorization.

47520535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 47520535680 in words is "forty-seven billion, five hundred twenty million, five hundred thirty-five thousand, six hundred eighty".