49821756390 has 192 divisors, whose sum is σ = 154882990080. Its totient is φ = 10873428480.

The previous prime is 49821756389. The next prime is 49821756407. The reversal of 49821756390 is 9365712894.

49821756390 is a `hidden beast` number, since 4 + 9 + 82 + 175 + 6 + 390 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1193491 + ... + 1234529.

It is an arithmetic number, because the mean of its divisors is an integer number (806682240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅49821756390 = 99643512780, but 3⋅49821756390 = 149465269170 is not.

Almost surely, 2^49821756390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49821756390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77441495040).

49821756390 is an abundant number, since it is smaller than the sum of its proper divisors (105061233690).

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

49821756390 is a wasteful number, since it uses less digits than its factorization.

49821756390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41147 (or 41144 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 49821756390 in words is "forty-nine billion, eight hundred twenty-one million, seven hundred fifty-six thousand, three hundred ninety".