27400102087680 has 1408 divisors, whose sum is σ = 119292468111360. Its totient is φ = 5894189088768.

The previous prime is 27400102087669. The next prime is 27400102087739. The reversal of 27400102087680 is 8678020100472.

27400102087680 is a `hidden beast` number, since 2 + 7 + 400 + 102 + 0 + 87 + 68 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1332485079 + ... + 1332505641.

Almost surely, 2^{27400102087680} is an apocalyptic number.

27400102087680 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 27400102087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59646234055680).

27400102087680 is an abundant number, since it is smaller than the sum of its proper divisors (91892366023680).

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

27400102087680 is an equidigital number, since it uses as much as digits as its factorization.

27400102087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20633 (or 20597 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 27400102087680 in words is "twenty-seven trillion, four hundred billion, one hundred two million, eighty-seven thousand, six hundred eighty".