49088991813120 has 960 divisors, whose sum is σ = 196404257073024. Its totient is φ = 11099260846080.

The previous prime is 49088991813107. The next prime is 49088991813151. The reversal of 49088991813120 is 2131819988094.

49088991813120 is a `hidden beast` number, since 490 + 8 + 8 + 9 + 9 + 1 + 8 + 13 + 120 = 666.

49088991813120 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 (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5633989884 + ... + 5633998596.

Almost surely, 2^{49088991813120} is an apocalyptic number.

49088991813120 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 49088991813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98202128536512).

49088991813120 is an abundant number, since it is smaller than the sum of its proper divisors (147315265259904).

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

49088991813120 is a wasteful number, since it uses less digits than its factorization.

49088991813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 49088991813120 in words is "forty-nine trillion, eighty-eight billion, nine hundred ninety-one million, eight hundred thirteen thousand, one hundred twenty".