21716634576 has 240 divisors, whose sum is σ = 70718223744. Its totient is φ = 5691829248.

The previous prime is 21716634551. The next prime is 21716634587. The reversal of 21716634576 is 67543661712.

It is a happy number.

It is a super-2 number, since 2×21716634576² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5104066 + ... + 5108318.

Almost surely, 2^21716634576 is an apocalyptic number.

21716634576 is a gapful number since it is divisible by the number (26) 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 21716634576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35359111872).

21716634576 is an abundant number, since it is smaller than the sum of its proper divisors (49001589168).

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

21716634576 is a wasteful number, since it uses less digits than its factorization.

21716634576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4445 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The spelling of 21716634576 in words is "twenty-one billion, seven hundred sixteen million, six hundred thirty-four thousand, five hundred seventy-six".