48508049126400 has 264 divisors, whose sum is σ = 160349018133984. Its totient is φ = 12933269913600.

The previous prime is 48508049126399. The next prime is 48508049126419. The reversal of 48508049126400 is 462194080584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476953954 + ... + 477055646.

Almost surely, 2^{48508049126400} is an apocalyptic number.

48508049126400 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 48508049126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80174509066992).

48508049126400 is an abundant number, since it is smaller than the sum of its proper divisors (111840969007584).

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

48508049126400 is a wasteful number, since it uses less digits than its factorization.

48508049126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107937 (or 107914 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 48508049126400 in words is "forty-eight trillion, five hundred eight billion, forty-nine million, one hundred twenty-six thousand, four hundred".