10827263676000 has 192 divisors, whose sum is σ = 36428769074880. Its totient is φ = 2809235865600.

The previous prime is 10827263675959. The next prime is 10827263676043. The reversal of 10827263676000 is 67636272801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11748865 + ... + 12636864.

It is an arithmetic number, because the mean of its divisors is an integer number (189733172265).

Almost surely, 2^{10827263676000} is an apocalyptic number.

10827263676000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10827263676000 is an abundant number, since it is smaller than the sum of its proper divisors (25601505398880).

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

10827263676000 is a wasteful number, since it uses less digits than its factorization.

10827263676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24385794 (or 24385776 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 10827263676000 in words is "ten trillion, eight hundred twenty-seven billion, two hundred sixty-three million, six hundred seventy-six thousand".