127712953620 has 144 divisors (see below), whose sum is σ = 442877460480. Its totient is φ = 29182353408.

The previous prime is 127712953601. The next prime is 127712953661. The reversal of 127712953620 is 26359217721.

It is a happy number.

127712953620 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 12 + 9 + 5 + 3 + 620 = 666.

It is a super-2 number, since 2×127712953620² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4500436 + ... + 4528724.

It is an arithmetic number, because the mean of its divisors is an integer number (3075537920).

Almost surely, 2^127712953620 is an apocalyptic number.

127712953620 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 127712953620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221438730240).

127712953620 is an abundant number, since it is smaller than the sum of its proper divisors (315164506860).

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

127712953620 is a wasteful number, since it uses less digits than its factorization.

127712953620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31894 (or 31889 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 127712953620 in words is "one hundred twenty-seven billion, seven hundred twelve million, nine hundred fifty-three thousand, six hundred twenty".