48686791928320 has 1280 divisors, whose sum is σ = 158112680140800. Its totient is φ = 13936078356480.

The previous prime is 48686791928297. The next prime is 48686791928347. The reversal of 48686791928320 is 2382919768684.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27678675601 + ... + 27678677359.

It is an arithmetic number, because the mean of its divisors is an integer number (123525531360).

Almost surely, 2^{48686791928320} is an apocalyptic number.

48686791928320 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 48686791928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056340070400).

48686791928320 is an abundant number, since it is smaller than the sum of its proper divisors (109425888212480).

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

48686791928320 is a wasteful number, since it uses less digits than its factorization.

48686791928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 73.

The spelling of 48686791928320 in words is "forty-eight trillion, six hundred eighty-six billion, seven hundred ninety-one million, nine hundred twenty-eight thousand, three hundred twenty".