127268729280 has 2240 divisors, whose sum is σ = 622005018624. Its totient is φ = 24086937600.

The previous prime is 127268729279. The next prime is 127268729321. The reversal of 127268729280 is 82927862721.

127268729280 is a `hidden beast` number, since 1 + 272 + 6 + 8 + 7 + 292 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4105442865 + ... + 4105442895.

Almost surely, 2^127268729280 is an apocalyptic number.

127268729280 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 127268729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311002509312).

127268729280 is an abundant number, since it is smaller than the sum of its proper divisors (494736289344).

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

127268729280 is a wasteful number, since it uses less digits than its factorization.

127268729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 127268729280 in words is "one hundred twenty-seven billion, two hundred sixty-eight million, seven hundred twenty-nine thousand, two hundred eighty".