21361484188080 has 320 divisors, whose sum is σ = 74636191549440. Its totient is φ = 5614551936000.

The previous prime is 21361484188067. The next prime is 21361484188111. The reversal of 21361484188080 is 8088148416312.

21361484188080 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 1 + 484 + 1 + 8 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590878005 + ... + 590914155.

It is an arithmetic number, because the mean of its divisors is an integer number (233238098592).

Almost surely, 2^{21361484188080} is an apocalyptic number.

21361484188080 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 21361484188080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37318095774720).

21361484188080 is an abundant number, since it is smaller than the sum of its proper divisors (53274707361360).

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

21361484188080 is a wasteful number, since it uses less digits than its factorization.

21361484188080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40097 (or 40085 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 21361484188080 in words is "twenty-one trillion, three hundred sixty-one billion, four hundred eighty-four million, one hundred eighty-eight thousand, eighty".