47825916480 has 224 divisors, whose sum is σ = 169072560000. Its totient is φ = 12726872064.

The previous prime is 47825916449. The next prime is 47825916503. The reversal of 47825916480 is 8461952874.

It is a happy number.

47825916480 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 591 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 4305814 + ... + 4316906.

Almost surely, 2^47825916480 is an apocalyptic number.

47825916480 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 47825916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84536280000).

47825916480 is an abundant number, since it is smaller than the sum of its proper divisors (121246643520).

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

47825916480 is a wasteful number, since it uses less digits than its factorization.

47825916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11602 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47825916480 in words is "forty-seven billion, eight hundred twenty-five million, nine hundred sixteen thousand, four hundred eighty".