27245211840 has 1680 divisors, whose sum is σ = 130673100096. Its totient is φ = 5255331840.

The previous prime is 27245211761. The next prime is 27245211841. The reversal of 27245211840 is 4811254272.

27245211840 is a `hidden beast` number, since 27 + 2 + 452 + 1 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27245211795 and 27245211804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27245211841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 373222044 + ... + 373222116.

Almost surely, 2^27245211840 is an apocalyptic number.

27245211840 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 27245211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65336550048).

27245211840 is an abundant number, since it is smaller than the sum of its proper divisors (103427888256).

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

27245211840 is a wasteful number, since it uses less digits than its factorization.

27245211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 27245211840 in words is "twenty-seven billion, two hundred forty-five million, two hundred eleven thousand, eight hundred forty".