47515080960 has 216 divisors, whose sum is σ = 166652196984. Its totient is φ = 12496896000.

The previous prime is 47515080953. The next prime is 47515080967. The reversal of 47515080960 is 6908051574.

47515080960 is a `hidden beast` number, since 4 + 7 + 51 + 508 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47515080953) and next prime (47515080967).

It can be written as a sum of positive squares in 4 ways, for example, as 1355417856 + 46159663104 = 36816^2 + 214848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47515080967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812710 + ... + 869210.

It is an arithmetic number, because the mean of its divisors is an integer number (771537949).

Almost surely, 2^47515080960 is an apocalyptic number.

47515080960 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 47515080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83326098492).

47515080960 is an abundant number, since it is smaller than the sum of its proper divisors (119137116024).

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

47515080960 is a wasteful number, since it uses less digits than its factorization.

47515080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56601 (or 56584 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 47515080960 in words is "forty-seven billion, five hundred fifteen million, eighty thousand, nine hundred sixty".