49791813120 has 960 divisors, whose sum is σ = 212770381824. Its totient is φ = 10510663680.

The previous prime is 49791813107. The next prime is 49791813121. The reversal of 49791813120 is 2131819794.

49791813120 is a `hidden beast` number, since 497 + 9 + 1 + 8 + 131 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49791813121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114992424 + ... + 114992856.

Almost surely, 2^49791813120 is an apocalyptic number.

49791813120 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 49791813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106385190912).

49791813120 is an abundant number, since it is smaller than the sum of its proper divisors (162978568704).

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

49791813120 is a wasteful number, since it uses less digits than its factorization.

49791813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 49791813120 in words is "forty-nine billion, seven hundred ninety-one million, eight hundred thirteen thousand, one hundred twenty".