48807949008000 has 4608 divisors, whose sum is σ = 223711884564480. Its totient is φ = 9339273216000.

The previous prime is 48807949007953. The next prime is 48807949008059. The reversal of 48807949008000 is 80094970884.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 209476175884 + ... + 209476176116.

It is an arithmetic number, because the mean of its divisors is an integer number (48548586060).

Almost surely, 2^{48807949008000} is an apocalyptic number.

48807949008000 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 48807949008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111855942282240).

48807949008000 is an abundant number, since it is smaller than the sum of its proper divisors (174903935556480).

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

48807949008000 is a wasteful number, since it uses less digits than its factorization.

48807949008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 48807949008000 in words is "forty-eight trillion, eight hundred seven billion, nine hundred forty-nine million, eight thousand".