49052116800 has 252 divisors, whose sum is σ = 174596816160. Its totient is φ = 13061514240.

The previous prime is 49052116769. The next prime is 49052116801. The reversal of 49052116800 is 861125094.

49052116800 is a `hidden beast` number, since 49 + 0 + 521 + 16 + 80 + 0 = 666.

It is a super-2 number, since 2×49052116800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49052116801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11849131 + ... + 11853269.

Almost surely, 2^49052116800 is an apocalyptic number.

49052116800 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 49052116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87298408080).

49052116800 is an abundant number, since it is smaller than the sum of its proper divisors (125544699360).

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

49052116800 is a wasteful number, since it uses less digits than its factorization.

49052116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 49052116800 in words is "forty-nine billion, fifty-two million, one hundred sixteen thousand, eight hundred".