10953561636864 has 1536 divisors, whose sum is σ = 41770603929600. Its totient is φ = 2775593779200.

The previous prime is 10953561636841. The next prime is 10953561636881. The reversal of 10953561636864 is 46863616535901.

10953561636864 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 3 + 5 + 616 + 3 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35220455269 + ... + 35220455579.

It is an arithmetic number, because the mean of its divisors is an integer number (27194403600).

Almost surely, 2^{10953561636864} is an apocalyptic number.

10953561636864 is a gapful number since it is divisible by the number (14) 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 10953561636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885301964800).

10953561636864 is an abundant number, since it is smaller than the sum of its proper divisors (30817042292736).

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

10953561636864 is an equidigital number, since it uses as much as digits as its factorization.

10953561636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 10953561636864 in words is "ten trillion, nine hundred fifty-three billion, five hundred sixty-one million, six hundred thirty-six thousand, eight hundred sixty-four".