49057920000 has 880 divisors, whose sum is σ = 193379598720. Its totient is φ = 12238848000.

The previous prime is 49057919993. The next prime is 49057920001. The reversal of 49057920000 is 2975094.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49057920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293759917 + ... + 293760083.

It is an arithmetic number, because the mean of its divisors is an integer number (219749544).

Almost surely, 2^49057920000 is an apocalyptic number.

49057920000 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 49057920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96689799360).

49057920000 is an abundant number, since it is smaller than the sum of its proper divisors (144321678720).

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

49057920000 is a wasteful number, since it uses less digits than its factorization.

49057920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 49057920000 in words is "forty-nine billion, fifty-seven million, nine hundred twenty thousand".