49771858752 has 672 divisors, whose sum is σ = 186923842560. Its totient is φ = 12755128320.

The previous prime is 49771858729. The next prime is 49771858753. The reversal of 49771858752 is 25785817794.

49771858752 is a `hidden beast` number, since 49 + 7 + 7 + 1 + 8 + 587 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49771858752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49771858753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106577623 + ... + 106578089.

It is an arithmetic number, because the mean of its divisors is an integer number (278160480).

Almost surely, 2^49771858752 is an apocalyptic number.

49771858752 is a gapful number since it is divisible by the number (42) 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 49771858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93461921280).

49771858752 is an abundant number, since it is smaller than the sum of its proper divisors (137151983808).

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

49771858752 is a wasteful number, since it uses less digits than its factorization.

49771858752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 579 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 63.

The spelling of 49771858752 in words is "forty-nine billion, seven hundred seventy-one million, eight hundred fifty-eight thousand, seven hundred fifty-two".