21410887680 has 1536 divisors, whose sum is σ = 100387123200. Its totient is φ = 4204265472.

The previous prime is 21410887669. The next prime is 21410887723. The reversal of 21410887680 is 8678801412.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×21410887680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 578672622 + ... + 578672658.

It is an arithmetic number, because the mean of its divisors is an integer number (65356200).

Almost surely, 2^21410887680 is an apocalyptic number.

21410887680 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 21410887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

21410887680 is an abundant number, since it is smaller than the sum of its proper divisors (78976235520).

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

21410887680 is a wasteful number, since it uses less digits than its factorization.

21410887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 21410887680 in words is "twenty-one billion, four hundred ten million, eight hundred eighty-seven thousand, six hundred eighty".