49125225600 has 1152 divisors, whose sum is σ = 204553574400. Its totient is φ = 11496038400.

The previous prime is 49125225577. The next prime is 49125225619. The reversal of 49125225600 is 652252194.

49125225600 is a `hidden beast` number, since 4 + 9 + 1 + 25 + 2 + 25 + 600 = 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, 386812737 + ... + 386812863.

Almost surely, 2^49125225600 is an apocalyptic number.

49125225600 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 49125225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102276787200).

49125225600 is an abundant number, since it is smaller than the sum of its proper divisors (155428348800).

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

49125225600 is a wasteful number, since it uses less digits than its factorization.

49125225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

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

Adding to 49125225600 its reverse (652252194), we get a palindrome (49777477794).

The spelling of 49125225600 in words is "forty-nine billion, one hundred twenty-five million, two hundred twenty-five thousand, six hundred".