127063748788020 has 288 divisors, whose sum is σ = 426446159892480. Its totient is φ = 30365308512000.

The previous prime is 127063748788019. The next prime is 127063748788121. The reversal of 127063748788020 is 20887847360721.

It is a happy number.

127063748788020 is a `hidden beast` number, since 1 + 2 + 70 + 6 + 3 + 7 + 487 + 8 + 80 + 2 + 0 = 666.

It is a super-2 number, since 2×127063748788020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1090701975 + ... + 1090818465.

It is an arithmetic number, because the mean of its divisors is an integer number (1480715832960).

Almost surely, 2^{127063748788020} is an apocalyptic number.

127063748788020 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 127063748788020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213223079946240).

127063748788020 is an abundant number, since it is smaller than the sum of its proper divisors (299382411104460).

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

127063748788020 is a wasteful number, since it uses less digits than its factorization.

127063748788020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124347 (or 124342 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 127063748788020 in words is "one hundred twenty-seven trillion, sixty-three billion, seven hundred forty-eight million, seven hundred eighty-eight thousand, twenty".