49761596556100 has 243 divisors, whose sum is σ = 128550195958149. Its totient is φ = 16699807238400.

The previous prime is 49761596556041. The next prime is 49761596556103. The reversal of 49761596556100 is 165569516794.

The square root of 49761596556100 is 7054190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 49582356092676 + 179240463424 = 7041474^2 + 423368^2 .

It is a super-3 number, since 3×49761596556100³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49761596556103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10087489234 + ... + 10087494166.

Almost surely, 2^{49761596556100} is an apocalyptic number.

49761596556100 is the 7054190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49761596556100

49761596556100 is an abundant number, since it is smaller than the sum of its proper divisors (78788599402049).

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

49761596556100 is a wasteful number, since it uses less digits than its factorization.

49761596556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9928 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 64.

The spelling of 49761596556100 in words is "forty-nine trillion, seven hundred sixty-one billion, five hundred ninety-six million, five hundred fifty-six thousand, one hundred".