48926425175040 has 1056 divisors, whose sum is σ = 192283288141824. Its totient is φ = 10570533765120.

The previous prime is 48926425175011. The next prime is 48926425175063. The reversal of 48926425175040 is 4057152462984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1003244737 + ... + 1003293503.

It is an arithmetic number, because the mean of its divisors is an integer number (182086447104).

Almost surely, 2^{48926425175040} is an apocalyptic number.

48926425175040 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 48926425175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96141644070912).

48926425175040 is an abundant number, since it is smaller than the sum of its proper divisors (143356862966784).

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

48926425175040 is a wasteful number, since it uses less digits than its factorization.

48926425175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48883 (or 48858 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 48926425175040 in words is "forty-eight trillion, nine hundred twenty-six billion, four hundred twenty-five million, one hundred seventy-five thousand, forty".