127205464320 has 432 divisors, whose sum is σ = 485566099200. Its totient is φ = 30488494080.

The previous prime is 127205464301. The next prime is 127205464363. The reversal of 127205464320 is 23464502721.

127205464320 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 0 + 5 + 4 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11272441 + ... + 11283719.

It is an arithmetic number, because the mean of its divisors is an integer number (1123995600).

Almost surely, 2^127205464320 is an apocalyptic number.

127205464320 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 127205464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242783049600).

127205464320 is an abundant number, since it is smaller than the sum of its proper divisors (358360634880).

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

127205464320 is a wasteful number, since it uses less digits than its factorization.

127205464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406 (or 11389 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 127205464320 in words is "one hundred twenty-seven billion, two hundred five million, four hundred sixty-four thousand, three hundred twenty".