49999177649760 has 768 divisors, whose sum is σ = 168017903714304. Its totient is φ = 12472207368192.

The previous prime is 49999177649717. The next prime is 49999177649777. The reversal of 49999177649760 is 6794677199994.

49999177649760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 52797441607 + ... + 52797442553.

It is an arithmetic number, because the mean of its divisors is an integer number (218773312128).

Almost surely, 2^{49999177649760} is an apocalyptic number.

49999177649760 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 49999177649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84008951857152).

49999177649760 is an abundant number, since it is smaller than the sum of its proper divisors (118018726064544).

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

49999177649760 is a wasteful number, since it uses less digits than its factorization.

49999177649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 11666192832, while the sum is 87.

The spelling of 49999177649760 in words is "forty-nine trillion, nine hundred ninety-nine billion, one hundred seventy-seven million, six hundred forty-nine thousand, seven hundred sixty".