27825778002 has 64 divisors (see below), whose sum is σ = 63462850560. Its totient is φ = 8056713600.

The previous prime is 27825777979. The next prime is 27825778009. The reversal of 27825778002 is 20087752872.

It is a super-2 number, since 2×27825778002² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27825778009) 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 31 ways as a sum of consecutive naturals, for example, 75558 + ... + 247710.

It is an arithmetic number, because the mean of its divisors is an integer number (991607040).

Almost surely, 2^27825778002 is an apocalyptic number.

27825778002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27825778002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31731425280).

27825778002 is an abundant number, since it is smaller than the sum of its proper divisors (35637072558).

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

27825778002 is a wasteful number, since it uses less digits than its factorization.

27825778002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172279.

The product of its (nonzero) digits is 878080, while the sum is 48.

The spelling of 27825778002 in words is "twenty-seven billion, eight hundred twenty-five million, seven hundred seventy-eight thousand, two".