49836124800 has 1440 divisors, whose sum is σ = 232040460960. Its totient is φ = 10309939200.

The previous prime is 49836124781. The next prime is 49836124829. The reversal of 49836124800 is 842163894.

It is a happy number.

49836124800 is a `hidden beast` number, since 49 + 8 + 361 + 248 + 0 + 0 = 666.

49836124800 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 (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 219542287 + ... + 219542513.

It is an arithmetic number, because the mean of its divisors is an integer number (161139209).

Almost surely, 2^49836124800 is an apocalyptic number.

49836124800 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 49836124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116020230480).

49836124800 is an abundant number, since it is smaller than the sum of its proper divisors (182204336160).

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

49836124800 is a wasteful number, since it uses less digits than its factorization.

49836124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 49836124800 in words is "forty-nine billion, eight hundred thirty-six million, one hundred twenty-four thousand, eight hundred".