2779806053601 has 32 divisors (see below), whose sum is σ = 4367524924800. Its totient is φ = 1741374097920.

The previous prime is 2779806053593. The next prime is 2779806053621. The reversal of 2779806053601 is 1063506089772.

2779806053601 is a `hidden beast` number, since 27 + 7 + 9 + 8 + 0 + 6 + 0 + 5 + 3 + 601 = 666.

It is not a de Polignac number, because 2779806053601 - 2³ = 2779806053593 is a prime.

It is a super-4 number, since 4×2779806053601⁴ (a number of 51 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2779806053621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4607820 + ... + 5176061.

It is an arithmetic number, because the mean of its divisors is an integer number (136485153900).

Almost surely, 2^{2779806053601} is an apocalyptic number.

It is an amenable number.

2779806053601 is a deficient number, since it is larger than the sum of its proper divisors (1587718871199).

2779806053601 is a wasteful number, since it uses less digits than its factorization.

2779806053601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784526 (or 9784520 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2779806053601 in words is "two trillion, seven hundred seventy-nine billion, eight hundred six million, fifty-three thousand, six hundred one".