21357611211000 has 512 divisors, whose sum is σ = 68607428198400. Its totient is φ = 5529889497600.

The previous prime is 21357611210941. The next prime is 21357611211073. The reversal of 21357611211000 is 11211675312.

It is a super-2 number, since 2×21357611211000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4465314609 + ... + 4465319391.

It is an arithmetic number, because the mean of its divisors is an integer number (133998883200).

Almost surely, 2^{21357611211000} is an apocalyptic number.

21357611211000 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 21357611211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303714099200).

21357611211000 is an abundant number, since it is smaller than the sum of its proper divisors (47249816987400).

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

21357611211000 is a wasteful number, since it uses less digits than its factorization.

21357611211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 21357611211000 its reverse (11211675312), we get a palindrome (21368822886312).

The spelling of 21357611211000 in words is "twenty-one trillion, three hundred fifty-seven billion, six hundred eleven million, two hundred eleven thousand".