127753513896100 has 27 divisors (see below), whose sum is σ = 277225370425731. Its totient is φ = 51101360347200.

The previous prime is 127753513895971. The next prime is 127753513896109. The reversal of 127753513896100 is 1698315357721.

The square root of 127753513896100 is 11302810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30510090676836 + 97243423219264 = 5523594^2 + 9861208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127753513896109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112462960 + ... + 113593240.

Almost surely, 2^{127753513896100} is an apocalyptic number.

127753513896100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127753513896100 is the 11302810-th square number.

It is an amenable number.

127753513896100 is an abundant number, since it is smaller than the sum of its proper divisors (149471856529631).

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

127753513896100 is an frugal number, since it uses more digits than its factorization.

127753513896100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260576 (or 1130288 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 127753513896100 in words is "one hundred twenty-seven trillion, seven hundred fifty-three billion, five hundred thirteen million, eight hundred ninety-six thousand, one hundred".