270661640523100 has 144 divisors (see below), whose sum is σ = 595807297892352. Its totient is φ = 106713078128640.

The previous prime is 270661640523097. The next prime is 270661640523139. The reversal of 270661640523100 is 1325046166072.

It is a super-2 number, since 2×270661640523100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23756831004 + ... + 23756842396.

It is an arithmetic number, because the mean of its divisors is an integer number (4137550679808).

Almost surely, 2^{270661640523100} is an apocalyptic number.

270661640523100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270661640523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297903648946176).

270661640523100 is an abundant number, since it is smaller than the sum of its proper divisors (325145657369252).

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

270661640523100 is a wasteful number, since it uses less digits than its factorization.

270661640523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22076 (or 22069 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

Adding to 270661640523100 its reverse (1325046166072), we get a palindrome (271986686689172).

The spelling of 270661640523100 in words is "two hundred seventy trillion, six hundred sixty-one billion, six hundred forty million, five hundred twenty-three thousand, one hundred".