127696772700 has 288 divisors, whose sum is σ = 469869926400. Its totient is φ = 29144136960.

The previous prime is 127696772677. The next prime is 127696772701. The reversal of 127696772700 is 7277696721.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127696772701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13584402 + ... + 13593798.

It is an arithmetic number, because the mean of its divisors is an integer number (1631492800).

Almost surely, 2^127696772700 is an apocalyptic number.

127696772700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127696772700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234934963200).

127696772700 is an abundant number, since it is smaller than the sum of its proper divisors (342173153700).

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

127696772700 is a wasteful number, since it uses less digits than its factorization.

127696772700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 127696772700 in words is "one hundred twenty-seven billion, six hundred ninety-six million, seven hundred seventy-two thousand, seven hundred".