49965828252032 has 256 divisors, whose sum is σ = 124917889029120. Its totient is φ = 19339727339520.

The previous prime is 49965828251987. The next prime is 49965828252037. The reversal of 49965828252032 is 23025282856994.

It is a self number, because there is not a number n which added to its sum of digits gives 49965828252032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49965828252037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1413322868 + ... + 1413358220.

It is an arithmetic number, because the mean of its divisors is an integer number (487960504020).

Almost surely, 2^{49965828252032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49965828252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62458944514560).

49965828252032 is an abundant number, since it is smaller than the sum of its proper divisors (74952060777088).

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

49965828252032 is a wasteful number, since it uses less digits than its factorization.

49965828252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36321 (or 36309 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 65.

The spelling of 49965828252032 in words is "forty-nine trillion, nine hundred sixty-five billion, eight hundred twenty-eight million, two hundred fifty-two thousand, thirty-two".