27155085400800 has 1296 divisors, whose sum is σ = 116984359084320. Its totient is φ = 5799228825600.

The previous prime is 27155085400789. The next prime is 27155085400811. The reversal of 27155085400800 is 800458055172.

27155085400800 is a `hidden beast` number, since 2 + 7 + 15 + 508 + 54 + 0 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27155085400789) and next prime (27155085400811).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1404587934 + ... + 1404607266.

It is an arithmetic number, because the mean of its divisors is an integer number (90265709170).

Almost surely, 2^{27155085400800} is an apocalyptic number.

27155085400800 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 27155085400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58492179542160).

27155085400800 is an abundant number, since it is smaller than the sum of its proper divisors (89829273683520).

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

27155085400800 is a wasteful number, since it uses less digits than its factorization.

27155085400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19457 (or 19410 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 27155085400800 in words is "twenty-seven trillion, one hundred fifty-five billion, eighty-five million, four hundred thousand, eight hundred".