7878412536201 has 81 divisors (see below), whose sum is σ = 12561158271207. Its totient is φ = 4757275622880.

The previous prime is 7878412536119. The next prime is 7878412536223. The reversal of 7878412536201 is 1026352148787.

The square root of 7878412536201 is 2806851.

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

7878412536201 is a `hidden beast` number, since 7 + 8 + 7 + 8 + 4 + 1 + 2 + 5 + 3 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7514731172601 + 363681363600 = 2741301^2 + 603060^2 .

It is not a de Polignac number, because 7878412536201 - 2³⁷ = 7740973582729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7878412536251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3679780591 + ... + 3679782731.

Almost surely, 2^{7878412536201} is an apocalyptic number.

7878412536201 is the 2806851-st square number.

7878412536201 is the 1403426-th centered octagonal number.

It is an amenable number.

7878412536201 is a deficient number, since it is larger than the sum of its proper divisors (4682745735006).

7878412536201 is an equidigital number, since it uses as much as digits as its factorization.

7878412536201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7878412536201 in words is "seven trillion, eight hundred seventy-eight billion, four hundred twelve million, five hundred thirty-six thousand, two hundred one".