49129406876160 has 1920 divisors, whose sum is σ = 204311043256320. Its totient is φ = 11211486068736.

The previous prime is 49129406876153. The next prime is 49129406876177. The reversal of 49129406876160 is 6167860492194.

49129406876160 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 9 + 4 + 0 + 6 + 8 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7221723319 + ... + 7221730121.

It is an arithmetic number, because the mean of its divisors is an integer number (106412001696).

Almost surely, 2^{49129406876160} is an apocalyptic number.

49129406876160 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 49129406876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102155521628160).

49129406876160 is an abundant number, since it is smaller than the sum of its proper divisors (155181636380160).

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

49129406876160 is a wasteful number, since it uses less digits than its factorization.

49129406876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 49129406876160 in words is "forty-nine trillion, one hundred twenty-nine billion, four hundred six million, eight hundred seventy-six thousand, one hundred sixty".