10654291891264 has 112 divisors (see below), whose sum is σ = 24583573042560. Its totient is φ = 4486608875520.

The previous prime is 10654291891261. The next prime is 10654291891273. The reversal of 10654291891264 is 46219819245601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10654291891264² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10654291891199 and 10654291891208.

It is not an unprimeable number, because it can be changed into a prime (10654291891261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56390874 + ... + 56579494.

It is an arithmetic number, because the mean of its divisors is an integer number (219496187880).

Almost surely, 2^{10654291891264} is an apocalyptic number.

10654291891264 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 10654291891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291786521280).

10654291891264 is an abundant number, since it is smaller than the sum of its proper divisors (13929281151296).

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

10654291891264 is a wasteful number, since it uses less digits than its factorization.

10654291891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190836 (or 190826 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 10654291891264 in words is "ten trillion, six hundred fifty-four billion, two hundred ninety-one million, eight hundred ninety-one thousand, two hundred sixty-four".