27342374302100 has 288 divisors, whose sum is σ = 74510633514240. Its totient is φ = 8564700672000.

The previous prime is 27342374302093. The next prime is 27342374302163. The reversal of 27342374302100 is 120347324372.

It is a super-2 number, since 2×27342374302100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12471086 + ... + 14498714.

It is an arithmetic number, because the mean of its divisors is an integer number (258717477480).

Almost surely, 2^{27342374302100} is an apocalyptic number.

27342374302100 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 27342374302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255316757120).

27342374302100 is an abundant number, since it is smaller than the sum of its proper divisors (47168259212140).

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

27342374302100 is a wasteful number, since it uses less digits than its factorization.

27342374302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027731 (or 2027724 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 38.

The spelling of 27342374302100 in words is "twenty-seven trillion, three hundred forty-two billion, three hundred seventy-four million, three hundred two thousand, one hundred".