1827263192064 has 88 divisors (see below), whose sum is σ = 4915005355920. Its totient is φ = 603499659264.

The previous prime is 1827263192039. The next prime is 1827263192113. The reversal of 1827263192064 is 4602913627281.

It is a junction number, because it is equal to n+sod(n) for n = 1827263191998 and 1827263192016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2393649 + ... + 3063344.

It is an arithmetic number, because the mean of its divisors is an integer number (55852333590).

Almost surely, 2^{1827263192064} is an apocalyptic number.

It is an amenable number.

1827263192064 is an abundant number, since it is smaller than the sum of its proper divisors (3087742163856).

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

1827263192064 is a wasteful number, since it uses less digits than its factorization.

1827263192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457125 (or 5457107 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1827263192064 in words is "one trillion, eight hundred twenty-seven billion, two hundred sixty-three million, one hundred ninety-two thousand, sixty-four".