10786254651648 has 864 divisors, whose sum is σ = 39347454585600. Its totient is φ = 2896054124544.

The previous prime is 10786254651647. The next prime is 10786254651677. The reversal of 10786254651648 is 84615645268701.

10786254651648 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 2 + 5 + 465 + 164 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (10786254651647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5740421973 + ... + 5740423851.

It is an arithmetic number, because the mean of its divisors is an integer number (45541035400).

Almost surely, 2^{10786254651648} is an apocalyptic number.

10786254651648 is a gapful number since it is divisible by the number (18) 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 10786254651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673727292800).

10786254651648 is an abundant number, since it is smaller than the sum of its proper divisors (28561199933952).

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

10786254651648 is a wasteful number, since it uses less digits than its factorization.

10786254651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 10786254651648 in words is "ten trillion, seven hundred eighty-six billion, two hundred fifty-four million, six hundred fifty-one thousand, six hundred forty-eight".