49570759728 has 240 divisors, whose sum is σ = 164671293696. Its totient is φ = 14141433600.

The previous prime is 49570759703. The next prime is 49570759739. The reversal of 49570759728 is 82795707594.

49570759728 is a `hidden beast` number, since 4 + 9 + 570 + 7 + 59 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×49570759728³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28603150 + ... + 28604882.

Almost surely, 2^49570759728 is an apocalyptic number.

49570759728 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 49570759728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82335646848).

49570759728 is an abundant number, since it is smaller than the sum of its proper divisors (115100533968).

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

49570759728 is a wasteful number, since it uses less digits than its factorization.

49570759728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 49570759728 in words is "forty-nine billion, five hundred seventy million, seven hundred fifty-nine thousand, seven hundred twenty-eight".