127046820975360 has 576 divisors, whose sum is σ = 476797363531776. Its totient is φ = 28423780761600.

The previous prime is 127046820975353. The next prime is 127046820975377. The reversal of 127046820975360 is 63579028640721.

It is a super-2 number, since 2×127046820975360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 127046820975294 and 127046820975303.

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, 2758206730 + ... + 2758252790.

It is an arithmetic number, because the mean of its divisors is an integer number (827773200576).

It is a 1-persistent number, because it is pandigital, but 2⋅127046820975360 = 254093641950720 is not.

Almost surely, 2^{127046820975360} is an apocalyptic number.

127046820975360 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 127046820975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238398681765888).

127046820975360 is an abundant number, since it is smaller than the sum of its proper divisors (349750542556416).

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

127046820975360 is a wasteful number, since it uses less digits than its factorization.

127046820975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51132 (or 51118 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 127046820975360 in words is "one hundred twenty-seven trillion, forty-six billion, eight hundred twenty million, nine hundred seventy-five thousand, three hundred sixty".