21367410581328 has 320 divisors, whose sum is σ = 70554555648000. Its totient is φ = 5443436722176.

The previous prime is 21367410581287. The next prime is 21367410581329. The reversal of 21367410581328 is 82318501476312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21367410581329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31023963 + ... + 31705221.

It is an arithmetic number, because the mean of its divisors is an integer number (220482986400).

Almost surely, 2^{21367410581328} is an apocalyptic number.

21367410581328 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 21367410581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35277277824000).

21367410581328 is an abundant number, since it is smaller than the sum of its proper divisors (49187145066672).

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

21367410581328 is a wasteful number, since it uses less digits than its factorization.

21367410581328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681347 (or 681307 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 21367410581328 in words is "twenty-one trillion, three hundred sixty-seven billion, four hundred ten million, five hundred eighty-one thousand, three hundred twenty-eight".