49521326400 has 2520 divisors, whose sum is σ = 251069734080. Its totient is φ = 9316270080.

The previous prime is 49521326363. The next prime is 49521326401. The reversal of 49521326400 is 462312594.

It is a happy number.

49521326400 is a `hidden beast` number, since 4 + 9 + 5 + 2 + 1 + 3 + 2 + 640 + 0 = 666.

49521326400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

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 (49521326401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2606385591 + ... + 2606385609.

Almost surely, 2^49521326400 is an apocalyptic number.

49521326400 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 49521326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125534867040).

49521326400 is an abundant number, since it is smaller than the sum of its proper divisors (201548407680).

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

49521326400 is a wasteful number, since it uses less digits than its factorization.

49521326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 49521326400 its reverse (462312594), we get a palindrome (49983638994).

The spelling of 49521326400 in words is "forty-nine billion, five hundred twenty-one million, three hundred twenty-six thousand, four hundred".