48209682960 has 120 divisors (see below), whose sum is σ = 161980340184. Its totient is φ = 12849868800.

The previous prime is 48209682919. The next prime is 48209682973. The reversal of 48209682960 is 6928690284.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 678706704 + 47530976256 = 26052^2 + 218016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×48209682960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48209682897 and 48209682906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636360 + ... + 1665560.

Almost surely, 2^48209682960 is an apocalyptic number.

48209682960 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 48209682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80990170092).

48209682960 is an abundant number, since it is smaller than the sum of its proper divisors (113770657224).

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

48209682960 is a wasteful number, since it uses less digits than its factorization.

48209682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31513 (or 31504 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48209682960 in words is "forty-eight billion, two hundred nine million, six hundred eighty-two thousand, nine hundred sixty".