27861623152896 has 288 divisors, whose sum is σ = 80458705223680. Its totient is φ = 8508316557312.

The previous prime is 27861623152889. The next prime is 27861623152901. The reversal of 27861623152896 is 69825132616872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202631105 + ... + 1202654271.

Almost surely, 2^{27861623152896} is an apocalyptic number.

27861623152896 is a gapful number since it is divisible by the number (26) 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 27861623152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40229352611840).

27861623152896 is an abundant number, since it is smaller than the sum of its proper divisors (52597082070784).

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

27861623152896 is a wasteful number, since it uses less digits than its factorization.

27861623152896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24101 (or 24087 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 27861623152896 in words is "twenty-seven trillion, eight hundred sixty-one billion, six hundred twenty-three million, one hundred fifty-two thousand, eight hundred ninety-six".