27751020672144 has 640 divisors, whose sum is σ = 96228126720000. Its totient is φ = 6812759923200.

The previous prime is 27751020672131. The next prime is 27751020672149. The reversal of 27751020672144 is 44127602015772.

27751020672144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 27751020672093 and 27751020672102.

It is not an unprimeable number, because it can be changed into a prime (27751020672149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1510579279 + ... + 1510597649.

It is an arithmetic number, because the mean of its divisors is an integer number (150356448000).

Almost surely, 2^{27751020672144} is an apocalyptic number.

27751020672144 is a gapful number since it is divisible by the number (24) 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 27751020672144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48114063360000).

27751020672144 is an abundant number, since it is smaller than the sum of its proper divisors (68477106047856).

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

27751020672144 is a wasteful number, since it uses less digits than its factorization.

27751020672144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18872 (or 18852 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 27751020672144 in words is "twenty-seven trillion, seven hundred fifty-one billion, twenty million, six hundred seventy-two thousand, one hundred forty-four".