27398771400 has 1152 divisors, whose sum is σ = 122542156800. Its totient is φ = 4978713600.

The previous prime is 27398771399. The next prime is 27398771441. The reversal of 27398771400 is 417789372.

It is a self number, because there is not a number n which added to its sum of digits gives 27398771400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1442040591 + ... + 1442040609.

It is an arithmetic number, because the mean of its divisors is an integer number (106373400).

Almost surely, 2^27398771400 is an apocalyptic number.

27398771400 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 27398771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61271078400).

27398771400 is an abundant number, since it is smaller than the sum of its proper divisors (95143385400).

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

27398771400 is a wasteful number, since it uses less digits than its factorization.

27398771400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 27398771400 in words is "twenty-seven billion, three hundred ninety-eight million, seven hundred seventy-one thousand, four hundred".