27897949800000 has 2688 divisors, whose sum is σ = 122887494696960. Its totient is φ = 6072883200000.

The previous prime is 27897949799981. The next prime is 27897949800029. The reversal of 27897949800000 is 894979872.

27897949800000 is a `hidden beast` number, since 2 + 78 + 9 + 79 + 498 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72840599809 + ... + 72840600191.

It is an arithmetic number, because the mean of its divisors is an integer number (45717073920).

Almost surely, 2^{27897949800000} is an apocalyptic number.

27897949800000 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 27897949800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61443747348480).

27897949800000 is an abundant number, since it is smaller than the sum of its proper divisors (94989544896960).

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

27897949800000 is an equidigital number, since it uses as much as digits as its factorization.

27897949800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 27897949800000 in words is "twenty-seven trillion, eight hundred ninety-seven billion, nine hundred forty-nine million, eight hundred thousand".