127595549472400 has 135 divisors (see below), whose sum is σ = 325651083760731. Its totient is φ = 48034525701120.

The previous prime is 127595549472371. The next prime is 127595549472409. The reversal of 127595549472400 is 4274945595721.

It is a happy number.

The square root of 127595549472400 is 11295820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2984587939216 + 124610961533184 = 1727596^2 + 11162928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127595549472409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3840562189 + ... + 3840595411.

Almost surely, 2^{127595549472400} is an apocalyptic number.

127595549472400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127595549472400 is the 11295820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127595549472400

127595549472400 is an abundant number, since it is smaller than the sum of its proper divisors (198055534288331).

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

127595549472400 is an frugal number, since it uses more digits than its factorization.

127595549472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66498 (or 33247 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

The spelling of 127595549472400 in words is "one hundred twenty-seven trillion, five hundred ninety-five billion, five hundred forty-nine million, four hundred seventy-two thousand, four hundred".