10077187827 has 8 divisors (see below), whose sum is σ = 15355714816. Its totient is φ = 5758393032.

The previous prime is 10077187759. The next prime is 10077187847. The reversal of 10077187827 is 72878177001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10077187827 - 2¹² = 10077183731 is a prime.

It is a super-3 number, since 3×10077187827³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10077187847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239933023 + ... + 239933064.

It is an arithmetic number, because the mean of its divisors is an integer number (1919464352).

Almost surely, 2^10077187827 is an apocalyptic number.

10077187827 is a deficient number, since it is larger than the sum of its proper divisors (5278526989).

10077187827 is an equidigital number, since it uses as much as digits as its factorization.

10077187827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479866097.

The product of its (nonzero) digits is 307328, while the sum is 48.

The spelling of 10077187827 in words is "ten billion, seventy-seven million, one hundred eighty-seven thousand, eight hundred twenty-seven".