127165810464 has 768 divisors, whose sum is σ = 492762009600. Its totient is φ = 30888345600.

The previous prime is 127165810441. The next prime is 127165810483. The reversal of 127165810464 is 464018561721.

127165810464 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 6 + 581 + 0 + 4 + 64 = 666.

It is a super-2 number, since 2×127165810464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258993259 + ... + 258993749.

It is an arithmetic number, because the mean of its divisors is an integer number (641617200).

Almost surely, 2^127165810464 is an apocalyptic number.

127165810464 is a gapful number since it is divisible by the number (14) 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 127165810464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246381004800).

127165810464 is an abundant number, since it is smaller than the sum of its proper divisors (365596199136).

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

127165810464 is a wasteful number, since it uses less digits than its factorization.

127165810464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 127165810464 in words is "one hundred twenty-seven billion, one hundred sixty-five million, eight hundred ten thousand, four hundred sixty-four".