21155141315016 has 192 divisors, whose sum is σ = 62567075188800. Its totient is φ = 6678153216000.

The previous prime is 21155141314987. The next prime is 21155141315027. The reversal of 21155141315016 is 61051314155112.

21155141315016 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 5 + 14 + 131 + 501 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 103355496 + ... + 103559976.

It is an arithmetic number, because the mean of its divisors is an integer number (325870183275).

Almost surely, 2^{21155141315016} 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 21155141315016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31283537594400).

21155141315016 is an abundant number, since it is smaller than the sum of its proper divisors (41411933873784).

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

21155141315016 is a wasteful number, since it uses less digits than its factorization.

21155141315016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207322 (or 207306 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 21155141315016 in words is "twenty-one trillion, one hundred fifty-five billion, one hundred forty-one million, three hundred fifteen thousand, sixteen".