101577049728 has 512 divisors, whose sum is σ = 361724313600. Its totient is φ = 24456867840.

The previous prime is 101577049711. The next prime is 101577049729. The reversal of 101577049728 is 827940775101.

It is not an unprimeable number, because it can be changed into a prime (101577049729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26402301 + ... + 26406147.

It is an arithmetic number, because the mean of its divisors is an integer number (706492800).

Almost surely, 2^101577049728 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 101577049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180862156800).

101577049728 is an abundant number, since it is smaller than the sum of its proper divisors (260147263872).

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

101577049728 is a wasteful number, since it uses less digits than its factorization.

101577049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 101577049728 in words is "one hundred one billion, five hundred seventy-seven million, forty-nine thousand, seven hundred twenty-eight".