27942129600 has 1344 divisors, whose sum is σ = 126266204160. Its totient is φ = 5231001600.

The previous prime is 27942129583. The next prime is 27942129601. The reversal of 27942129600 is 692124972.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27942129601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161515114 + ... + 161515286.

Almost surely, 2^27942129600 is an apocalyptic number.

27942129600 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 27942129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63133102080).

27942129600 is an abundant number, since it is smaller than the sum of its proper divisors (98324074560).

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

27942129600 is a wasteful number, since it uses less digits than its factorization.

27942129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 27942129600 in words is "twenty-seven billion, nine hundred forty-two million, one hundred twenty-nine thousand, six hundred".