49970756160 has 336 divisors, whose sum is σ = 186346917120. Its totient is φ = 12217651200.

The previous prime is 49970756159. The next prime is 49970756201. The reversal of 49970756160 is 6165707994.

49970756160 is a `hidden beast` number, since 4 + 9 + 9 + 70 + 7 + 561 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49970756097 and 49970756106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5649021 + ... + 5657859.

It is an arithmetic number, because the mean of its divisors is an integer number (554603920).

Almost surely, 2^49970756160 is an apocalyptic number.

49970756160 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 49970756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93173458560).

49970756160 is an abundant number, since it is smaller than the sum of its proper divisors (136376160960).

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

49970756160 is a wasteful number, since it uses less digits than its factorization.

49970756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 49970756160 in words is "forty-nine billion, nine hundred seventy million, seven hundred fifty-six thousand, one hundred sixty".