21050468876160 has 384 divisors, whose sum is σ = 72927471052800. Its totient is φ = 5595142090752.

The previous prime is 21050468876137. The next prime is 21050468876197. The reversal of 21050468876160 is 6167886405012.

21050468876160 is a `hidden beast` number, since 2 + 1 + 0 + 50 + 468 + 8 + 76 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 21050468876097 and 21050468876106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2500348431 + ... + 2500356849.

It is an arithmetic number, because the mean of its divisors is an integer number (189915289200).

Almost surely, 2^{21050468876160} is an apocalyptic number.

21050468876160 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 21050468876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36463735526400).

21050468876160 is an abundant number, since it is smaller than the sum of its proper divisors (51877002176640).

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

21050468876160 is a wasteful number, since it uses less digits than its factorization.

21050468876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9810 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21050468876160 in words is "twenty-one trillion, fifty billion, four hundred sixty-eight million, eight hundred seventy-six thousand, one hundred sixty".