48739658240 has 640 divisors, whose sum is σ = 157597913088. Its totient is φ = 14014218240.

The previous prime is 48739658239. The next prime is 48739658311. The reversal of 48739658240 is 4285693784.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122769722 + ... + 122770118.

Almost surely, 2^48739658240 is an apocalyptic number.

48739658240 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 48739658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78798956544).

48739658240 is an abundant number, since it is smaller than the sum of its proper divisors (108858254848).

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

48739658240 is a wasteful number, since it uses less digits than its factorization.

48739658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 48739658240 in words is "forty-eight billion, seven hundred thirty-nine million, six hundred fifty-eight thousand, two hundred forty".