48600966240 has 144 divisors (see below), whose sum is σ = 166059784800. Its totient is φ = 12943927296.

The previous prime is 48600966209. The next prime is 48600966257. The reversal of 48600966240 is 4266900684.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1144101 + ... + 1185819.

It is an arithmetic number, because the mean of its divisors is an integer number (1153192950).

Almost surely, 2^48600966240 is an apocalyptic number.

48600966240 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 48600966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83029892400).

48600966240 is an abundant number, since it is smaller than the sum of its proper divisors (117458818560).

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

48600966240 is a wasteful number, since it uses less digits than its factorization.

48600966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42549 (or 42538 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48600966240 in words is "forty-eight billion, six hundred million, nine hundred sixty-six thousand, two hundred forty".