49758912000 has 1440 divisors, whose sum is σ = 218534700384. Its totient is φ = 10838016000.

The previous prime is 49758911989. The next prime is 49758912001. The reversal of 49758912000 is 21985794.

49758912000 is a `hidden beast` number, since 49 + 7 + 589 + 1 + 20 + 0 + 0 = 666.

49758912000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49758912001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1157183979 + ... + 1157184021.

Almost surely, 2^49758912000 is an apocalyptic number.

49758912000 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 49758912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109267350192).

49758912000 is an abundant number, since it is smaller than the sum of its proper divisors (168775788384).

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

49758912000 is a wasteful number, since it uses less digits than its factorization.

49758912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 49758912000 in words is "forty-nine billion, seven hundred fifty-eight million, nine hundred twelve thousand".