49852800000 has 528 divisors, whose sum is σ = 184857855840. Its totient is φ = 13271040000.

The previous prime is 49852799981. The next prime is 49852800013. The reversal of 49852800000 is 825894.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 86399712 + ... + 86400288.

Almost surely, 2^49852800000 is an apocalyptic number.

49852800000 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 49852800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92428927920).

49852800000 is an abundant number, since it is smaller than the sum of its proper divisors (135005055840).

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

49852800000 is an frugal number, since it uses more digits than its factorization.

49852800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 49852800000 in words is "forty-nine billion, eight hundred fifty-two million, eight hundred thousand".