127764173495952 has 160 divisors (see below), whose sum is σ = 419411841638400. Its totient is φ = 36478680676992.

The previous prime is 127764173495951. The next prime is 127764173496067. The reversal of 127764173495952 is 259594371467721.

It is a happy number.

127764173495952 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 6 + 41 + 7 + 3 + 495 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (127764173495951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10328818 + ... + 19031889.

It is an arithmetic number, because the mean of its divisors is an integer number (2621324010240).

Almost surely, 2^{127764173495952} is an apocalyptic number.

127764173495952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127764173495952 is an abundant number, since it is smaller than the sum of its proper divisors (291647668142448).

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

127764173495952 is a wasteful number, since it uses less digits than its factorization.

127764173495952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29362170 (or 29362158 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 127764173495952 in words is "one hundred twenty-seven trillion, seven hundred sixty-four billion, one hundred seventy-three million, four hundred ninety-five thousand, nine hundred fifty-two".