49874745600000 has 2880 divisors, whose sum is σ = 200662631769600. Its totient is φ = 12311101440000.

The previous prime is 49874745599981. The next prime is 49874745600007. The reversal of 49874745600000 is 654747894.

49874745600000 is a `hidden beast` number, since 4 + 9 + 8 + 7 + 4 + 74 + 560 + 0 + 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49874745600000.

It is not an unprimeable number, because it can be changed into a prime (49874745600007) 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, 560390399956 + ... + 560390400044.

It is an arithmetic number, because the mean of its divisors is an integer number (69674524920).

Almost surely, 2^{49874745600000} is an apocalyptic number.

49874745600000 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 49874745600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100331315884800).

49874745600000 is an abundant number, since it is smaller than the sum of its proper divisors (150787886169600).

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

49874745600000 is an frugal number, since it uses more digits than its factorization.

49874745600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 49874745600000 in words is "forty-nine trillion, eight hundred seventy-four billion, seven hundred forty-five million, six hundred thousand".