48709200960 has 280 divisors, whose sum is σ = 198020391360. Its totient is φ = 11133490176.

The previous prime is 48709200959. The next prime is 48709200971. The reversal of 48709200960 is 6900290784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47211 + ... + 315669.

Almost surely, 2^48709200960 is an apocalyptic number.

48709200960 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 48709200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99010195680).

48709200960 is an abundant number, since it is smaller than the sum of its proper divisors (149311190400).

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

48709200960 is a wasteful number, since it uses less digits than its factorization.

48709200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268495 (or 268476 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 48709200960 in words is "forty-eight billion, seven hundred nine million, two hundred thousand, nine hundred sixty".