48777727100 has 72 divisors (see below), whose sum is σ = 106775249280. Its totient is φ = 19340556480.

The previous prime is 48777727099. The next prime is 48777727169. The reversal of 48777727100 is 172777784.

48777727100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48777727100² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10325339 + ... + 10330061.

Almost surely, 2^48777727100 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 48777727100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53387624640).

48777727100 is an abundant number, since it is smaller than the sum of its proper divisors (57997522180).

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

48777727100 is a wasteful number, since it uses less digits than its factorization.

48777727100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 1075648, while the sum is 50.

The spelling of 48777727100 in words is "forty-eight billion, seven hundred seventy-seven million, seven hundred twenty-seven thousand, one hundred".