48859050938880 has 2560 divisors, whose sum is σ = 208130614788096. Its totient is φ = 9496034279424.

The previous prime is 48859050938879. The next prime is 48859050938899. The reversal of 48859050938880 is 8883905095884.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 67206397077 + ... + 67206397803.

Almost surely, 2^{48859050938880} is an apocalyptic number.

48859050938880 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 48859050938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104065307394048).

48859050938880 is an abundant number, since it is smaller than the sum of its proper divisors (159271563849216).

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

48859050938880 is a wasteful number, since it uses less digits than its factorization.

48859050938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 75.

The spelling of 48859050938880 in words is "forty-eight trillion, eight hundred fifty-nine billion, fifty million, nine hundred thirty-eight thousand, eight hundred eighty".