21761313509376 has 624 divisors, whose sum is σ = 73556030291328. Its totient is φ = 6070350643200.

The previous prime is 21761313509363. The next prime is 21761313509381. The reversal of 21761313509376 is 67390531316712.

It is a happy number.

21761313509376 is a `hidden beast` number, since 2 + 1 + 7 + 6 + 131 + 350 + 93 + 76 = 666.

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, 2156502091 + ... + 2156512181.

It is an arithmetic number, because the mean of its divisors is an integer number (117878253672).

Almost surely, 2^{21761313509376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21761313509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36778015145664).

21761313509376 is an abundant number, since it is smaller than the sum of its proper divisors (51794716781952).

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

21761313509376 is a wasteful number, since it uses less digits than its factorization.

21761313509376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 21761313509376 in words is "twenty-one trillion, seven hundred sixty-one billion, three hundred thirteen million, five hundred nine thousand, three hundred seventy-six".