127647753894078 has 128 divisors (see below), whose sum is σ = 299899423088640. Its totient is φ = 35786992811520.

The previous prime is 127647753894077. The next prime is 127647753894097. The reversal of 127647753894078 is 870498357746721.

It is a junction number, because it is equal to n+sod(n) for n = 127647753893994 and 127647753894012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127647753894077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028473851 + ... + 2028536777.

It is an arithmetic number, because the mean of its divisors is an integer number (2342964242880).

It is a 1-persistent number, because it is pandigital, but 2⋅127647753894078 = 255295507788156 is not.

Almost surely, 2^{127647753894078} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127647753894078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149949711544320).

127647753894078 is an abundant number, since it is smaller than the sum of its proper divisors (172251669194562).

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

127647753894078 is a wasteful number, since it uses less digits than its factorization.

127647753894078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93662.

The product of its (nonzero) digits is 3982970880, while the sum is 78.

The spelling of 127647753894078 in words is "one hundred twenty-seven trillion, six hundred forty-seven billion, seven hundred fifty-three million, eight hundred ninety-four thousand, seventy-eight".