49552824288000 has 576 divisors, whose sum is σ = 179627192769024. Its totient is φ = 12007802880000.

The previous prime is 49552824287891. The next prime is 49552824288041. The reversal of 49552824288000 is 88242825594.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2959959630 + ... + 2959976370.

It is an arithmetic number, because the mean of its divisors is an integer number (311852765224).

Almost surely, 2^{49552824288000} is an apocalyptic number.

49552824288000 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 49552824288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89813596384512).

49552824288000 is an abundant number, since it is smaller than the sum of its proper divisors (130074368481024).

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

49552824288000 is a wasteful number, since it uses less digits than its factorization.

49552824288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 49552824288000 in words is "forty-nine trillion, five hundred fifty-two billion, eight hundred twenty-four million, two hundred eighty-eight thousand".