47252707560 has 320 divisors, whose sum is σ = 162650339280. Its totient is φ = 12299489280.

The previous prime is 47252707547. The next prime is 47252707577. The reversal of 47252707560 is 6570725274.

47252707560 is a `hidden beast` number, since 4 + 72 + 527 + 0 + 7 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29754180036 + 17498527524 = 172494^2 + 132282^2 .

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 79 ways as a sum of consecutive naturals, for example, 40010170 + ... + 40011350.

Almost surely, 2^47252707560 is an apocalyptic number.

47252707560 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 47252707560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81325169640).

47252707560 is an abundant number, since it is smaller than the sum of its proper divisors (115397631720).

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

47252707560 is a wasteful number, since it uses less digits than its factorization.

47252707560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 47252707560 in words is "forty-seven billion, two hundred fifty-two million, seven hundred seven thousand, five hundred sixty".