48768713280 has 1120 divisors, whose sum is σ = 213389358336. Its totient is φ = 10319560704.

The previous prime is 48768713267. The next prime is 48768713291. The reversal of 48768713280 is 8231786784.

It is a happy number.

48768713280 is a `hidden beast` number, since 487 + 6 + 87 + 1 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 299194479 + ... + 299194641.

Almost surely, 2^48768713280 is an apocalyptic number.

48768713280 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 48768713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106694679168).

48768713280 is an abundant number, since it is smaller than the sum of its proper divisors (164620645056).

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

48768713280 is a wasteful number, since it uses less digits than its factorization.

48768713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48768713280 in words is "forty-eight billion, seven hundred sixty-eight million, seven hundred thirteen thousand, two hundred eighty".