21034153574208 has 672 divisors, whose sum is σ = 68242513248000. Its totient is φ = 6155044651008.

The previous prime is 21034153574183. The next prime is 21034153574221. The reversal of 21034153574208 is 80247535143012.

21034153574208 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 4 + 1 + 53 + 574 + 20 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3591281616 + ... + 3591287472.

It is an arithmetic number, because the mean of its divisors is an integer number (101551359000).

Almost surely, 2^{21034153574208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21034153574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34121256624000).

21034153574208 is an abundant number, since it is smaller than the sum of its proper divisors (47208359673792).

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

21034153574208 is a wasteful number, since it uses less digits than its factorization.

21034153574208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 21034153574208 in words is "twenty-one trillion, thirty-four billion, one hundred fifty-three million, five hundred seventy-four thousand, two hundred eight".