127285238869776 has 225 divisors, whose sum is σ = 398935335386181. Its totient is φ = 39163064264064.

The previous prime is 127285238869769. The next prime is 127285238869799. The reversal of 127285238869776 is 677968832582721.

The square root of 127285238869776 is 11282076.

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

127285238869776 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 523 + 8 + 86 + 9 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18829177347600 + 108456061522176 = 4339260^2 + 10414224^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 127285238869695 and 127285238869704.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5279999515 + ... + 5280023621.

Almost surely, 2^{127285238869776} is an apocalyptic number.

127285238869776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127285238869776 is the 11282076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127285238869776

127285238869776 is an abundant number, since it is smaller than the sum of its proper divisors (271650096516405).

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

127285238869776 is an frugal number, since it uses more digits than its factorization.

127285238869776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48260 (or 24125 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

127285238869776 divided by its sum of digits (81) gives a square (1571422702096 = 1253564²).

The spelling of 127285238869776 in words is "one hundred twenty-seven trillion, two hundred eighty-five billion, two hundred thirty-eight million, eight hundred sixty-nine thousand, seven hundred seventy-six".