49611077100 has 288 divisors, whose sum is σ = 172064056640. Its totient is φ = 12190279680.

The previous prime is 49611077071. The next prime is 49611077123. The reversal of 49611077100 is 177011694.

It is a super-3 number, since 3×49611077100³ (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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29939472 + ... + 29941128.

Almost surely, 2^49611077100 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 49611077100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86032028320).

49611077100 is an abundant number, since it is smaller than the sum of its proper divisors (122452979540).

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

49611077100 is a wasteful number, since it uses less digits than its factorization.

49611077100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 49611077100 its reverse (177011694), we get a palindrome (49788088794).

The spelling of 49611077100 in words is "forty-nine billion, six hundred eleven million, seventy-seven thousand, one hundred".