127872622080 has 640 divisors, whose sum is σ = 523440783360. Its totient is φ = 28983951360.

The previous prime is 127872622079. The next prime is 127872622151. The reversal of 127872622080 is 80226278721.

127872622080 is a `hidden beast` number, since 12 + 7 + 8 + 7 + 2 + 622 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×127872622080² (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 63 ways as a sum of consecutive naturals, for example, 61446640 + ... + 61448720.

It is an arithmetic number, because the mean of its divisors is an integer number (817876224).

Almost surely, 2^127872622080 is an apocalyptic number.

127872622080 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 127872622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261720391680).

127872622080 is an abundant number, since it is smaller than the sum of its proper divisors (395568161280).

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

127872622080 is a wasteful number, since it uses less digits than its factorization.

127872622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 127872622080 in words is "one hundred twenty-seven billion, eight hundred seventy-two million, six hundred twenty-two thousand, eighty".