47250524880 has 960 divisors, whose sum is σ = 193622607360. Its totient is φ = 10490757120.

The previous prime is 47250524873. The next prime is 47250524903. The reversal of 47250524880 is 8842505274.

47250524880 is a `hidden beast` number, since 4 + 72 + 50 + 52 + 488 + 0 = 666.

It is a super-2 number, since 2×47250524880² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458742909 + ... + 458743011.

It is an arithmetic number, because the mean of its divisors is an integer number (201690216).

Almost surely, 2^47250524880 is an apocalyptic number.

47250524880 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 47250524880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96811303680).

47250524880 is an abundant number, since it is smaller than the sum of its proper divisors (146372082480).

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

47250524880 is a wasteful number, since it uses less digits than its factorization.

47250524880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 47250524880 in words is "forty-seven billion, two hundred fifty million, five hundred twenty-four thousand, eight hundred eighty".