21411159217728 has 896 divisors, whose sum is σ = 71213652246528. Its totient is φ = 5538833104896.

The previous prime is 21411159217717. The next prime is 21411159217757. The reversal of 21411159217728 is 82771295111412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19589349150 + ... + 19589350242.

Almost surely, 2^{21411159217728} is an apocalyptic number.

21411159217728 is a gapful number since it is divisible by the number (28) 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 21411159217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35606826123264).

21411159217728 is an abundant number, since it is smaller than the sum of its proper divisors (49802493028800).

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

21411159217728 is a wasteful number, since it uses less digits than its factorization.

21411159217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its digits is 564480, while the sum is 51.

The spelling of 21411159217728 in words is "twenty-one trillion, four hundred eleven billion, one hundred fifty-nine million, two hundred seventeen thousand, seven hundred twenty-eight".