27754056001 has 32 divisors (see below), whose sum is σ = 33337294848. Its totient is φ = 22590912960.

The previous prime is 27754055971. The next prime is 27754056019. The reversal of 27754056001 is 10065045772.

It is not a de Polignac number, because 27754056001 - 2⁵ = 27754055969 is a prime.

It is a super-2 number, since 2×27754056001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27754056041) 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, 28005616 + ... + 28006606.

It is an arithmetic number, because the mean of its divisors is an integer number (1041790464).

Almost surely, 2^27754056001 is an apocalyptic number.

It is an amenable number.

27754056001 is a deficient number, since it is larger than the sum of its proper divisors (5583238847).

27754056001 is a wasteful number, since it uses less digits than its factorization.

27754056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101.

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 27754056001 in words is "twenty-seven billion, seven hundred fifty-four million, fifty-six thousand, one".