127933972822656 has 1536 divisors, whose sum is σ = 519199167513600. Its totient is φ = 30484358553600.

The previous prime is 127933972822651. The next prime is 127933972822687. The reversal of 127933972822656 is 656228279339721.

127933972822656 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 3 + 397 + 2 + 8 + 226 + 5 + 6 = 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 (127933972822651) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3947223091 + ... + 3947255501.

It is an arithmetic number, because the mean of its divisors is an integer number (338020291350).

Almost surely, 2^{127933972822656} is an apocalyptic number.

127933972822656 is a gapful number since it is divisible by the number (16) 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 127933972822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259599583756800).

127933972822656 is an abundant number, since it is smaller than the sum of its proper divisors (391265194690944).

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

127933972822656 is a wasteful number, since it uses less digits than its factorization.

127933972822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32635 (or 32610 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 127933972822656 in words is "one hundred twenty-seven trillion, nine hundred thirty-three billion, nine hundred seventy-two million, eight hundred twenty-two thousand, six hundred fifty-six".