49606517975040 has 2592 divisors, whose sum is σ = 205488579081240. Its totient is φ = 11447832674304.

The previous prime is 49606517975039. The next prime is 49606517975051. The reversal of 49606517975040 is 4057971560694.

49606517975040 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 6 + 51 + 79 + 7 + 504 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7850935010304 + 41755582964736 = 2801952^2 + 6461856^2 .

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 193021470592 + ... + 193021470848.

Almost surely, 2^{49606517975040} is an apocalyptic number.

49606517975040 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 49606517975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102744289540620).

49606517975040 is an abundant number, since it is smaller than the sum of its proper divisors (155882061106200).

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

49606517975040 is an equidigital number, since it uses as much as digits as its factorization.

49606517975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 49606517975040 in words is "forty-nine trillion, six hundred six billion, five hundred seventeen million, nine hundred seventy-five thousand, forty".