127864135880460 has 288 divisors, whose sum is σ = 449554767427584. Its totient is φ = 28811293056000.

The previous prime is 127864135880423. The next prime is 127864135880477. The reversal of 127864135880460 is 64088531468721.

127864135880460 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 4 + 1 + 3 + 588 + 0 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 869567145 + ... + 869714175.

It is an arithmetic number, because the mean of its divisors is an integer number (1560954053568).

Almost surely, 2^{127864135880460} is an apocalyptic number.

127864135880460 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 127864135880460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224777383713792).

127864135880460 is an abundant number, since it is smaller than the sum of its proper divisors (321690631547124).

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

127864135880460 is a wasteful number, since it uses less digits than its factorization.

127864135880460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156845 (or 156840 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 127864135880460 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred thirty-five million, eight hundred eighty thousand, four hundred sixty".