127906495200 has 1152 divisors, whose sum is σ = 550089792000. Its totient is φ = 28333670400.

The previous prime is 127906495183. The next prime is 127906495253. The reversal of 127906495200 is 2594609721.

127906495200 is a `hidden beast` number, since 12 + 79 + 0 + 6 + 49 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130917112 + ... + 130918088.

It is an arithmetic number, because the mean of its divisors is an integer number (477508500).

Almost surely, 2^127906495200 is an apocalyptic number.

127906495200 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 127906495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275044896000).

127906495200 is an abundant number, since it is smaller than the sum of its proper divisors (422183296800).

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

127906495200 is a wasteful number, since it uses less digits than its factorization.

127906495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 127906495200 in words is "one hundred twenty-seven billion, nine hundred six million, four hundred ninety-five thousand, two hundred".