27942372900 has 576 divisors, whose sum is σ = 101464339200. Its totient is φ = 6549258240.

The previous prime is 27942372889. The next prime is 27942372911. The reversal of 27942372900 is 927324972.

27942372900 is a `hidden beast` number, since 2 + 79 + 423 + 72 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27942372889) and next prime (27942372911).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98736159 + ... + 98736441.

Almost surely, 2^27942372900 is an apocalyptic number.

27942372900 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 27942372900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50732169600).

27942372900 is an abundant number, since it is smaller than the sum of its proper divisors (73521966300).

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

27942372900 is a wasteful number, since it uses less digits than its factorization.

27942372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 27942372900 in words is "twenty-seven billion, nine hundred forty-two million, three hundred seventy-two thousand, nine hundred".