21151223002400 has 72 divisors (see below), whose sum is σ = 51653363973120. Its totient is φ = 8457549589760.

The previous prime is 21151223002387. The next prime is 21151223002487. The reversal of 21151223002400 is 420032215112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2288504 + ... + 6894903.

It is an arithmetic number, because the mean of its divisors is an integer number (717407832960).

Almost surely, 2^{21151223002400} is an apocalyptic number.

21151223002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21151223002400 is an abundant number, since it is smaller than the sum of its proper divisors (30502140970720).

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

21151223002400 is a wasteful number, since it uses less digits than its factorization.

21151223002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9186306 (or 9186293 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 21151223002400 its reverse (420032215112), we get a palindrome (21571255217512).

The spelling of 21151223002400 in words is "twenty-one trillion, one hundred fifty-one billion, two hundred twenty-three million, two thousand, four hundred".