127757786394001 has 9 divisors (see below), whose sum is σ = 127860488777403. Its totient is φ = 127655166466080.

The previous prime is 127757786393983. The next prime is 127757786394013. The reversal of 127757786394001 is 100493687757721.

The square root of 127757786394001 is 11302999.

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

It can be written as a sum of positive squares in only one way, i.e., 27354981579601 + 100402804814400 = 5230199^2 + 10020120^2 .

It is not a de Polignac number, because 127757786394001 - 2³⁷ = 127620347440529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127757786194001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16830161716 + ... + 16830169306.

It is an arithmetic number, because the mean of its divisors is an integer number (14206720975267).

It is a 1-persistent number, because it is pandigital, but 2⋅127757786394001 = 255515572788002 is not.

Almost surely, 2^{127757786394001} is an apocalyptic number.

127757786394001 is the 11302999-th square number.

127757786394001 is the 5651500-th centered octagonal number.

It is an amenable number.

127757786394001 is a deficient number, since it is larger than the sum of its proper divisors (102702383402).

127757786394001 is an frugal number, since it uses more digits than its factorization.

127757786394001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18160 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 67.

The spelling of 127757786394001 in words is "one hundred twenty-seven trillion, seven hundred fifty-seven billion, seven hundred eighty-six million, three hundred ninety-four thousand, one".