49823881228800 has 2400 divisors, whose sum is σ = 223679247897600. Its totient is φ = 10706424791040.

The previous prime is 49823881228799. The next prime is 49823881228853. The reversal of 49823881228800 is 882218832894.

49823881228800 is a `hidden beast` number, since 49 + 8 + 238 + 81 + 2 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9848560671 + ... + 9848565729.

It is an arithmetic number, because the mean of its divisors is an integer number (93199686624).

Almost surely, 2^{49823881228800} is an apocalyptic number.

49823881228800 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 49823881228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111839623948800).

49823881228800 is an abundant number, since it is smaller than the sum of its proper divisors (173855366668800).

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

49823881228800 is a wasteful number, since it uses less digits than its factorization.

49823881228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 49823881228800 in words is "forty-nine trillion, eight hundred twenty-three billion, eight hundred eighty-one million, two hundred twenty-eight thousand, eight hundred".