49789893120 has 480 divisors, whose sum is σ = 176724313920. Its totient is φ = 11948851200.

The previous prime is 49789893077. The next prime is 49789893151. The reversal of 49789893120 is 2139898794.

49789893120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121735476 + ... + 121735884.

It is an arithmetic number, because the mean of its divisors is an integer number (368175654).

Almost surely, 2^49789893120 is an apocalyptic number.

49789893120 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 49789893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88362156960).

49789893120 is an abundant number, since it is smaller than the sum of its proper divisors (126934420800).

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

49789893120 is a wasteful number, since it uses less digits than its factorization.

49789893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 49789893120 in words is "forty-nine billion, seven hundred eighty-nine million, eight hundred ninety-three thousand, one hundred twenty".