127064920752 has 960 divisors, whose sum is σ = 493440640000. Its totient is φ = 31183004160.

The previous prime is 127064920709. The next prime is 127064920781. The reversal of 127064920752 is 257029460721.

It is a super-2 number, since 2×127064920752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127064920698 and 127064920707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 340656438 + ... + 340656810.

Almost surely, 2^127064920752 is an apocalyptic number.

127064920752 is a gapful number since it is divisible by the number (12) 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 127064920752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246720320000).

127064920752 is an abundant number, since it is smaller than the sum of its proper divisors (366375719248).

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

127064920752 is a wasteful number, since it uses less digits than its factorization.

127064920752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 127064920752 in words is "one hundred twenty-seven billion, sixty-four million, nine hundred twenty thousand, seven hundred fifty-two".