49005532800 has 1152 divisors, whose sum is σ = 215461209600. Its totient is φ = 10351411200.

The previous prime is 49005532789. The next prime is 49005532813. The reversal of 49005532800 is 823550094.

49005532800 is a `hidden beast` number, since 49 + 0 + 0 + 5 + 532 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270748710 + ... + 270748890.

It is an arithmetic number, because the mean of its divisors is an integer number (187032300).

Almost surely, 2^49005532800 is an apocalyptic number.

49005532800 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 49005532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107730604800).

49005532800 is an abundant number, since it is smaller than the sum of its proper divisors (166455676800).

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

49005532800 is a wasteful number, since it uses less digits than its factorization.

49005532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 49005532800 in words is "forty-nine billion, five million, five hundred thirty-two thousand, eight hundred".