49538496000 has 1280 divisors, whose sum is σ = 205906821120. Its totient is φ = 10321920000.

The previous prime is 49538495989. The next prime is 49538496001. The reversal of 49538496000 is 69483594.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49538496001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1208255980 + ... + 1208256020.

It is an arithmetic number, because the mean of its divisors is an integer number (160864704).

Almost surely, 2^49538496000 is an apocalyptic number.

49538496000 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 49538496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102953410560).

49538496000 is an abundant number, since it is smaller than the sum of its proper divisors (156368325120).

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

49538496000 is a wasteful number, since it uses less digits than its factorization.

49538496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 49538496000 in words is "forty-nine billion, five hundred thirty-eight million, four hundred ninety-six thousand".