48649788720 has 480 divisors, whose sum is σ = 180414911040. Its totient is φ = 11675197440.

The previous prime is 48649788679. The next prime is 48649788721. The reversal of 48649788720 is 2788794684.

48649788720 is a `hidden beast` number, since 48 + 6 + 497 + 8 + 87 + 20 = 666.

It is a super-3 number, since 3×48649788720³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48649788721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 79363134 + ... + 79363746.

It is an arithmetic number, because the mean of its divisors is an integer number (375864398).

Almost surely, 2^48649788720 is an apocalyptic number.

48649788720 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 48649788720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90207455520).

48649788720 is an abundant number, since it is smaller than the sum of its proper divisors (131765122320).

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

48649788720 is a wasteful number, since it uses less digits than its factorization.

48649788720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 48649788720 in words is "forty-eight billion, six hundred forty-nine million, seven hundred eighty-eight thousand, seven hundred twenty".