48375571680 has 480 divisors, whose sum is σ = 182308008960. Its totient is φ = 12044712960.

The previous prime is 48375571649. The next prime is 48375571687. The reversal of 48375571680 is 8617557384.

It is a happy number.

48375571680 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 5 + 571 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48375571687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17481657 + ... + 17484423.

It is an arithmetic number, because the mean of its divisors is an integer number (379808352).

Almost surely, 2^48375571680 is an apocalyptic number.

48375571680 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 48375571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91154004480).

48375571680 is an abundant number, since it is smaller than the sum of its proper divisors (133932437280).

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

48375571680 is a wasteful number, since it uses less digits than its factorization.

48375571680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 48375571680 in words is "forty-eight billion, three hundred seventy-five million, five hundred seventy-one thousand, six hundred eighty".