21152553035616 has 192 divisors, whose sum is σ = 62223827097600. Its totient is φ = 6990546405888.

The previous prime is 21152553035587. The next prime is 21152553035641. The reversal of 21152553035616 is 61653035525112.

21152553035616 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 55 + 30 + 3 + 561 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87910225 + ... + 88150511.

It is an arithmetic number, because the mean of its divisors is an integer number (324082432800).

Almost surely, 2^{21152553035616} 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 21152553035616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31111913548800).

21152553035616 is an abundant number, since it is smaller than the sum of its proper divisors (41071274061984).

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

21152553035616 is a wasteful number, since it uses less digits than its factorization.

21152553035616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241178 (or 241164 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 21152553035616 in words is "twenty-one trillion, one hundred fifty-two billion, five hundred fifty-three million, thirty-five thousand, six hundred sixteen".