127453713411600 has 135 divisors (see below), whose sum is σ = 442302140030413. Its totient is φ = 33987476277120.

The previous prime is 127453713411547. The next prime is 127453713411623. The reversal of 127453713411600 is 6114317354721.

The square root of 127453713411600 is 11289540.

It is a perfect power (a square), and thus also a powerful number.

127453713411600 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 5 + 3 + 7 + 1 + 34 + 1 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45883336828176 + 81570376583424 = 6773724^2 + 9031632^2 .

It is a super-2 number, since 2×127453713411600² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 677278321 + ... + 677466479.

Almost surely, 2^{127453713411600} is an apocalyptic number.

127453713411600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127453713411600 is the 11289540-th square number.

It is an amenable number.

127453713411600 is an abundant number, since it is smaller than the sum of its proper divisors (314848426618813).

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

127453713411600 is an frugal number, since it uses more digits than its factorization.

127453713411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376342 (or 188169 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 127453713411600 in words is "one hundred twenty-seven trillion, four hundred fifty-three billion, seven hundred thirteen million, four hundred eleven thousand, six hundred".