10187912681856 has 3072 divisors, whose sum is σ = 41862288384000. Its totient is φ = 2437996216320.

The previous prime is 10187912681753. The next prime is 10187912681927. The reversal of 10187912681856 is 65818621978101.

10187912681856 is a `hidden beast` number, since 10 + 187 + 9 + 1 + 268 + 185 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10187912681793 and 10187912681802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105030027600 + ... + 105030027696.

It is an arithmetic number, because the mean of its divisors is an integer number (13627047000).

Almost surely, 2^{10187912681856} is an apocalyptic number.

10187912681856 is a gapful number since it is divisible by the number (16) 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 10187912681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20931144192000).

10187912681856 is an abundant number, since it is smaller than the sum of its proper divisors (31674375702144).

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

10187912681856 is an equidigital number, since it uses as much as digits as its factorization.

10187912681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 10187912681856 in words is "ten trillion, one hundred eighty-seven billion, nine hundred twelve million, six hundred eighty-one thousand, eight hundred fifty-six".