49456950528000 has 768 divisors, whose sum is σ = 176689394219520. Its totient is φ = 12237668352000.

The previous prime is 49456950527977. The next prime is 49456950528001. The reversal of 49456950528000 is 82505965494.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (49456950528001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 926949324 + ... + 927002676.

It is an arithmetic number, because the mean of its divisors is an integer number (230064315390).

Almost surely, 2^{49456950528000} is an apocalyptic number.

49456950528000 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 49456950528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88344697109760).

49456950528000 is an abundant number, since it is smaller than the sum of its proper divisors (127232443691520).

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

49456950528000 is a wasteful number, since it uses less digits than its factorization.

49456950528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53481 (or 53451 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 49456950528000 in words is "forty-nine trillion, four hundred fifty-six billion, nine hundred fifty million, five hundred twenty-eight thousand".