49936465208520 has 768 divisors, whose sum is σ = 191261730816000. Its totient is φ = 11177780613120.

The previous prime is 49936465208507. The next prime is 49936465208557. The reversal of 49936465208520 is 2580256463994.

It is a happy number.

49936465208520 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 6 + 4 + 6 + 520 + 85 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312415581 + ... + 312575379.

It is an arithmetic number, because the mean of its divisors is an integer number (249038712000).

Almost surely, 2^{49936465208520} is an apocalyptic number.

49936465208520 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 49936465208520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95630865408000).

49936465208520 is an abundant number, since it is smaller than the sum of its proper divisors (141325265607480).

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

49936465208520 is a wasteful number, since it uses less digits than its factorization.

49936465208520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159970 (or 159963 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 49936465208520 in words is "forty-nine trillion, nine hundred thirty-six billion, four hundred sixty-five million, two hundred eight thousand, five hundred twenty".