27836709451040 has 192 divisors, whose sum is σ = 79594615505664. Its totient is φ = 8980979417088.

The previous prime is 27836709451027. The next prime is 27836709451043. The reversal of 27836709451040 is 4015490763872.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (27836709451043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107580059 + ... + 107838501.

It is an arithmetic number, because the mean of its divisors is an integer number (414555289092).

It is a 2-persistent number, because it is pandigital, and so is 2⋅27836709451040 = 55673418902080, but 3⋅27836709451040 = 83510128353120 is not.

Almost surely, 2^{27836709451040} is an apocalyptic number.

27836709451040 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 27836709451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39797307752832).

27836709451040 is an abundant number, since it is smaller than the sum of its proper divisors (51757906054624).

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

27836709451040 is a wasteful number, since it uses less digits than its factorization.

27836709451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264139 (or 264131 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 27836709451040 in words is "twenty-seven trillion, eight hundred thirty-six billion, seven hundred nine million, four hundred fifty-one thousand, forty".