49769729856000 has 2560 divisors, whose sum is σ = 242720019210240. Its totient is φ = 9732980736000.

The previous prime is 49769729855999. The next prime is 49769729856019. The reversal of 49769729856000 is 65892796794.

49769729856000 is a `hidden beast` number, since 4 + 9 + 7 + 6 + 9 + 7 + 2 + 9 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 49769729856000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2261940999 + ... + 2261963001.

It is an arithmetic number, because the mean of its divisors is an integer number (94812507504).

Almost surely, 2^{49769729856000} is an apocalyptic number.

49769729856000 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 49769729856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121360009605120).

49769729856000 is an abundant number, since it is smaller than the sum of its proper divisors (192950289354240).

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

49769729856000 is a wasteful number, since it uses less digits than its factorization.

49769729856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22080 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 49769729856000 in words is "forty-nine trillion, seven hundred sixty-nine billion, seven hundred twenty-nine million, eight hundred fifty-six thousand".