49958565646080 has 1152 divisors, whose sum is σ = 199569518733312. Its totient is φ = 10370011889664.

The previous prime is 49958565646063. The next prime is 49958565646103. The reversal of 49958565646080 is 8064656585994.

49958565646080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49958565645993 and 49958565646011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11045446699 + ... + 11045451221.

It is an arithmetic number, because the mean of its divisors is an integer number (173237429456).

Almost surely, 2^{49958565646080} is an apocalyptic number.

49958565646080 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 49958565646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99784759366656).

49958565646080 is an abundant number, since it is smaller than the sum of its proper divisors (149610953087232).

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

49958565646080 is a wasteful number, since it uses less digits than its factorization.

49958565646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 2239488000, while the sum is 75.

The spelling of 49958565646080 in words is "forty-nine trillion, nine hundred fifty-eight billion, five hundred sixty-five million, six hundred forty-six thousand, eighty".