49198717747200 has 1440 divisors, whose sum is σ = 192861499629568. Its totient is φ = 10829168640000.

The previous prime is 49198717747189. The next prime is 49198717747229. The reversal of 49198717747200 is 274771789194.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81861426900 + ... + 81861427500.

Almost surely, 2^{49198717747200} is an apocalyptic number.

49198717747200 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 49198717747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96430749814784).

49198717747200 is an abundant number, since it is smaller than the sum of its proper divisors (143662781882368).

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

49198717747200 is a wasteful number, since it uses less digits than its factorization.

49198717747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 66.

The spelling of 49198717747200 in words is "forty-nine trillion, one hundred ninety-eight billion, seven hundred seventeen million, seven hundred forty-seven thousand, two hundred".