49969575486400 has 504 divisors, whose sum is σ = 128037630223440. Its totient is φ = 19192830197760.

The previous prime is 49969575486307. The next prime is 49969575486409. The reversal of 49969575486400 is 468457596994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49969575486409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61767089196 + ... + 61767090004.

It is an arithmetic number, because the mean of its divisors is an integer number (254042917110).

Almost surely, 2^{49969575486400} is an apocalyptic number.

49969575486400 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 49969575486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018815111720).

49969575486400 is an abundant number, since it is smaller than the sum of its proper divisors (78068054737040).

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

49969575486400 is a wasteful number, since it uses less digits than its factorization.

49969575486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 76.

The spelling of 49969575486400 in words is "forty-nine trillion, nine hundred sixty-nine billion, five hundred seventy-five million, four hundred eighty-six thousand, four hundred".