49204350720000 has 2880 divisors, whose sum is σ = 217555040102400. Its totient is φ = 10883911680000.

The previous prime is 49204350719989. The next prime is 49204350720001. The reversal of 49204350720000 is 2705340294.

49204350720000 is a `hidden beast` number, since 4 + 92 + 0 + 43 + 507 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (49204350720001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1587237119985 + ... + 1587237120015.

It is an arithmetic number, because the mean of its divisors is an integer number (75539944480).

Almost surely, 2^{49204350720000} is an apocalyptic number.

49204350720000 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 49204350720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108777520051200).

49204350720000 is an abundant number, since it is smaller than the sum of its proper divisors (168350689382400).

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

49204350720000 is an frugal number, since it uses more digits than its factorization.

49204350720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 49204350720000 in words is "forty-nine trillion, two hundred four billion, three hundred fifty million, seven hundred twenty thousand".