49529735219952 has 960 divisors, whose sum is σ = 163897253904384. Its totient is φ = 14372854824960.

The previous prime is 49529735219879. The next prime is 49529735219957. The reversal of 49529735219952 is 25991253792594.

49529735219952 is a `hidden beast` number, since 4 + 9 + 5 + 2 + 9 + 7 + 3 + 521 + 9 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49529735219957) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 18926148948 + ... + 18926151564.

Almost surely, 2^{49529735219952} 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 49529735219952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81948626952192).

49529735219952 is an abundant number, since it is smaller than the sum of its proper divisors (114367518684432).

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

49529735219952 is a wasteful number, since it uses less digits than its factorization.

49529735219952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2970 counting only the distinct ones).

The product of its digits is 551124000, while the sum is 72.

The spelling of 49529735219952 in words is "forty-nine trillion, five hundred twenty-nine billion, seven hundred thirty-five million, two hundred nineteen thousand, nine hundred fifty-two".