27904833857664 has 96 divisors (see below), whose sum is σ = 82007557107840. Its totient is φ = 9103704645120.

The previous prime is 27904833857647. The next prime is 27904833857699. The reversal of 27904833857664 is 46675833840972.

27904833857664 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 48 + 3 + 3 + 8 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27904833857664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27904833857592 and 27904833857601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257636772 + ... + 257745059.

It is an arithmetic number, because the mean of its divisors is an integer number (854245386540).

Almost surely, 2^{27904833857664} is an apocalyptic number.

27904833857664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27904833857664 is an abundant number, since it is smaller than the sum of its proper divisors (54102723250176).

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

27904833857664 is a wasteful number, since it uses less digits than its factorization.

27904833857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515381898 (or 515381883 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 27904833857664 in words is "twenty-seven trillion, nine hundred four billion, eight hundred thirty-three million, eight hundred fifty-seven thousand, six hundred sixty-four".