27870739231104 has 384 divisors, whose sum is σ = 103694173390080. Its totient is φ = 7239152424960.

The previous prime is 27870739231103. The next prime is 27870739231129. The reversal of 27870739231104 is 40113293707872.

27870739231104 is a `hidden beast` number, since 2 + 78 + 70 + 7 + 392 + 3 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27870739231103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3423499 + ... + 8213514.

It is an arithmetic number, because the mean of its divisors is an integer number (270036909870).

Almost surely, 2^{27870739231104} is an apocalyptic number.

27870739231104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27870739231104 is an abundant number, since it is smaller than the sum of its proper divisors (75823434158976).

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

27870739231104 is a wasteful number, since it uses less digits than its factorization.

27870739231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11637060 (or 11637036 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 27870739231104 in words is "twenty-seven trillion, eight hundred seventy billion, seven hundred thirty-nine million, two hundred thirty-one thousand, one hundred four".