127774297670400 has 864 divisors, whose sum is σ = 475318004992320. Its totient is φ = 33580614942720.

The previous prime is 127774297670333. The next prime is 127774297670483. The reversal of 127774297670400 is 4076792477721.

127774297670400 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 74 + 2 + 97 + 6 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×127774297670400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20902057744 + ... + 20902063856.

Almost surely, 2^{127774297670400} is an apocalyptic number.

127774297670400 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 127774297670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237659002496160).

127774297670400 is an abundant number, since it is smaller than the sum of its proper divisors (347543707321920).

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

127774297670400 is a wasteful number, since it uses less digits than its factorization.

127774297670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 63.

The spelling of 127774297670400 in words is "one hundred twenty-seven trillion, seven hundred seventy-four billion, two hundred ninety-seven million, six hundred seventy thousand, four hundred".