21434222155500 has 1152 divisors, whose sum is σ = 86784253710336. Its totient is φ = 4323331584000.

The previous prime is 21434222155459. The next prime is 21434222155517. The reversal of 21434222155500 is 555122243412.

21434222155500 is a `hidden beast` number, since 2 + 1 + 43 + 42 + 2 + 21 + 5 + 550 + 0 = 666.

It is a super-2 number, since 2×21434222155500² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6243581784 + ... + 6243585216.

It is an arithmetic number, because the mean of its divisors is an integer number (75333553568).

Almost surely, 2^{21434222155500} is an apocalyptic number.

21434222155500 is a gapful number since it is divisible by the number (20) 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 21434222155500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43392126855168).

21434222155500 is an abundant number, since it is smaller than the sum of its proper divisors (65350031554836).

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

21434222155500 is a wasteful number, since it uses less digits than its factorization.

21434222155500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 21434222155500 its reverse (555122243412), we get a palindrome (21989344398912).

The spelling of 21434222155500 in words is "twenty-one trillion, four hundred thirty-four billion, two hundred twenty-two million, one hundred fifty-five thousand, five hundred".