127296322560 has 1056 divisors, whose sum is σ = 513179297280. Its totient is φ = 28871884800.

The previous prime is 127296322523. The next prime is 127296322567. The reversal of 127296322560 is 65223692721.

127296322560 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 9 + 63 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127296322567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711152551 + ... + 711152729.

Almost surely, 2^127296322560 is an apocalyptic number.

127296322560 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 127296322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256589648640).

127296322560 is an abundant number, since it is smaller than the sum of its proper divisors (385882974720).

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

127296322560 is a wasteful number, since it uses less digits than its factorization.

127296322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 12729 and 6322560, that added together give a square (6335289 = 2517²).

The spelling of 127296322560 in words is "one hundred twenty-seven billion, two hundred ninety-six million, three hundred twenty-two thousand, five hundred sixty".