21377133381120 has 320 divisors, whose sum is σ = 74606079905280. Its totient is φ = 5178628505600.

The previous prime is 21377133381119. The next prime is 21377133381133. The reversal of 21377133381120 is 2118333177312.

It is a tau number, because it is divible by the number of its divisors (320).

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, 118942525 + ... + 119122115.

It is an arithmetic number, because the mean of its divisors is an integer number (233143999704).

Almost surely, 2^{21377133381120} is an apocalyptic number.

21377133381120 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 21377133381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37303039952640).

21377133381120 is an abundant number, since it is smaller than the sum of its proper divisors (53228946524160).

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

21377133381120 is a wasteful number, since it uses less digits than its factorization.

21377133381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181037 (or 181021 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 21377133381120 in words is "twenty-one trillion, three hundred seventy-seven billion, one hundred thirty-three million, three hundred eighty-one thousand, one hundred twenty".