49363590528 has 576 divisors, whose sum is σ = 177185848320. Its totient is φ = 12906915840.

The previous prime is 49363590527. The next prime is 49363590539. The reversal of 49363590528 is 82509536394.

49363590528 is a `hidden beast` number, since 4 + 9 + 3 + 63 + 59 + 0 + 528 = 666.

49363590528 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 (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49363590527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90243951 + ... + 90244497.

It is an arithmetic number, because the mean of its divisors is an integer number (307614320).

Almost surely, 2^49363590528 is an apocalyptic number.

49363590528 is a gapful number since it is divisible by the number (48) 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 49363590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88592924160).

49363590528 is an abundant number, since it is smaller than the sum of its proper divisors (127822257792).

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

49363590528 is a wasteful number, since it uses less digits than its factorization.

49363590528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 49363590528 in words is "forty-nine billion, three hundred sixty-three million, five hundred ninety thousand, five hundred twenty-eight".