49871808000 has 1920 divisors, whose sum is σ = 232870809600. Its totient is φ = 10450944000.

The previous prime is 49871807989. The next prime is 49871808013. The reversal of 49871808000 is 80817894.

49871808000 is a `hidden beast` number, since 498 + 7 + 1 + 80 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1608767985 + ... + 1608768015.

It is an arithmetic number, because the mean of its divisors is an integer number (121286880).

Almost surely, 2^49871808000 is an apocalyptic number.

49871808000 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 49871808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116435404800).

49871808000 is an abundant number, since it is smaller than the sum of its proper divisors (182999001600).

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

49871808000 is a wasteful number, since it uses less digits than its factorization.

49871808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 49871808000 in words is "forty-nine billion, eight hundred seventy-one million, eight hundred eight thousand".