127049770080 has 672 divisors, whose sum is σ = 476429361408. Its totient is φ = 31950028800.

The previous prime is 127049770021. The next prime is 127049770087. The reversal of 127049770080 is 80077940721.

It is a happy number.

127049770080 is a `hidden beast` number, since 12 + 7 + 0 + 497 + 70 + 0 + 80 = 666.

It is a super-2 number, since 2×127049770080² (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 not an unprimeable number, because it can be changed into a prime (127049770087) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 148249012 + ... + 148249868.

It is an arithmetic number, because the mean of its divisors is an integer number (708972264).

Almost surely, 2^127049770080 is an apocalyptic number.

127049770080 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 127049770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238214680704).

127049770080 is an abundant number, since it is smaller than the sum of its proper divisors (349379591328).

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

127049770080 is an equidigital number, since it uses as much as digits as its factorization.

127049770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 127049770080 in words is "one hundred twenty-seven billion, forty-nine million, seven hundred seventy thousand, eighty".