49898281305600 has 4320 divisors, whose sum is σ = 236046526341120. Its totient is φ = 10108153036800.

The previous prime is 49898281305559. The next prime is 49898281305601. The reversal of 49898281305600 is 650318289894.

49898281305600 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 8 + 2 + 8 + 13 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49898281305601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 392899852737 + ... + 392899852863.

It is an arithmetic number, because the mean of its divisors is an integer number (54640399616).

Almost surely, 2^{49898281305600} is an apocalyptic number.

49898281305600 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 49898281305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118023263170560).

49898281305600 is an abundant number, since it is smaller than the sum of its proper divisors (186148245035520).

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

49898281305600 is a wasteful number, since it uses less digits than its factorization.

49898281305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 49898281305600 in words is "forty-nine trillion, eight hundred ninety-eight billion, two hundred eighty-one million, three hundred five thousand, six hundred".