21134072381760 has 672 divisors, whose sum is σ = 83801193840000. Its totient is φ = 4844889096192.

The previous prime is 21134072381759. The next prime is 21134072381767. The reversal of 21134072381760 is 6718327043112.

21134072381760 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 407 + 238 + 1 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21134072381767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41718466 + ... + 42222014.

It is an arithmetic number, because the mean of its divisors is an integer number (124704157500).

Almost surely, 2^{21134072381760} is an apocalyptic number.

21134072381760 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 21134072381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41900596920000).

21134072381760 is an abundant number, since it is smaller than the sum of its proper divisors (62667121458240).

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

21134072381760 is a wasteful number, since it uses less digits than its factorization.

21134072381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503663 (or 503650 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21134072381760 in words is "twenty-one trillion, one hundred thirty-four billion, seventy-two million, three hundred eighty-one thousand, seven hundred sixty".