49768752000 has 1024 divisors, whose sum is σ = 195679411200. Its totient is φ = 11151360000.

The previous prime is 49768751983. The next prime is 49768752013. The reversal of 49768752000 is 25786794.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1213871980 + ... + 1213872020.

It is an arithmetic number, because the mean of its divisors is an integer number (191093175).

Almost surely, 2^49768752000 is an apocalyptic number.

49768752000 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 49768752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97839705600).

49768752000 is an abundant number, since it is smaller than the sum of its proper divisors (145910659200).

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

49768752000 is a wasteful number, since it uses less digits than its factorization.

49768752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 49768752000 in words is "forty-nine billion, seven hundred sixty-eight million, seven hundred fifty-two thousand".