27800260353792 has 864 divisors, whose sum is σ = 93435314918400. Its totient is φ = 7885216677888.

The previous prime is 27800260353787. The next prime is 27800260353797. The reversal of 27800260353792 is 29735306200872.

27800260353792 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 0 + 260 + 3 + 5 + 379 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (27800260353787) and next prime (27800260353797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27800260353797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8609555634 + ... + 8609558862.

It is an arithmetic number, because the mean of its divisors is an integer number (108142725600).

Almost surely, 2^{27800260353792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27800260353792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46717657459200).

27800260353792 is an abundant number, since it is smaller than the sum of its proper divisors (65635054564608).

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

27800260353792 is a wasteful number, since it uses less digits than its factorization.

27800260353792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 27800260353792 in words is "twenty-seven trillion, eight hundred billion, two hundred sixty million, three hundred fifty-three thousand, seven hundred ninety-two".