21151136160 has 1152 divisors, whose sum is σ = 97651008000. Its totient is φ = 4118446080.

The previous prime is 21151136119. The next prime is 21151136197. The reversal of 21151136160 is 6163115112.

21151136160 is a `hidden beast` number, since 21 + 15 + 1 + 13 + 616 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92362926 + ... + 92363154.

It is an arithmetic number, because the mean of its divisors is an integer number (84766500).

Almost surely, 2^21151136160 is an apocalyptic number.

21151136160 is a gapful number since it is divisible by the number (20) 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 21151136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48825504000).

21151136160 is an abundant number, since it is smaller than the sum of its proper divisors (76499871840).

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

21151136160 is a wasteful number, since it uses less digits than its factorization.

21151136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 21151136160 in words is "twenty-one billion, one hundred fifty-one million, one hundred thirty-six thousand, one hundred sixty".