10821954220224 has 84 divisors (see below), whose sum is σ = 33307876984824. Its totient is φ = 3091986917376.

The previous prime is 10821954220213. The next prime is 10821954220247. The reversal of 10821954220224 is 42202245912801.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×10821954220224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575136969 + ... + 575155784.

Almost surely, 2^{10821954220224} is an apocalyptic number.

10821954220224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10821954220224 is an abundant number, since it is smaller than the sum of its proper divisors (22485922764600).

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

10821954220224 is a wasteful number, since it uses less digits than its factorization.

10821954220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150292782 (or 1150292765 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10821954220224 in words is "ten trillion, eight hundred twenty-one billion, nine hundred fifty-four million, two hundred twenty thousand, two hundred twenty-four".