49822505905536 has 768 divisors, whose sum is σ = 182350399795200. Its totient is φ = 12701918085120.

The previous prime is 49822505905511. The next prime is 49822505905541. The reversal of 49822505905536 is 63550950522894.

49822505905536 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 2 + 5 + 0 + 5 + 90 + 5 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3077544930 + ... + 3077561118.

It is an arithmetic number, because the mean of its divisors is an integer number (237435416400).

Almost surely, 2^{49822505905536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49822505905536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91175199897600).

49822505905536 is an abundant number, since it is smaller than the sum of its proper divisors (132527893889664).

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

49822505905536 is a wasteful number, since it uses less digits than its factorization.

49822505905536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17207 (or 17192 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 49822505905536 in words is "forty-nine trillion, eight hundred twenty-two billion, five hundred five million, nine hundred five thousand, five hundred thirty-six".