48012713280 has 448 divisors, whose sum is σ = 194029340160. Its totient is φ = 10948608000.

The previous prime is 48012713269. The next prime is 48012713297. The reversal of 48012713280 is 8231721084.

48012713280 is a `hidden beast` number, since 480 + 1 + 2 + 71 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39976680 + ... + 39977880.

Almost surely, 2^48012713280 is an apocalyptic number.

48012713280 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 48012713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97014670080).

48012713280 is an abundant number, since it is smaller than the sum of its proper divisors (146016626880).

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

48012713280 is a wasteful number, since it uses less digits than its factorization.

48012713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 48012713280 in words is "forty-eight billion, twelve million, seven hundred thirteen thousand, two hundred eighty".