21418896096 has 480 divisors, whose sum is σ = 73305207360. Its totient is φ = 6080126976.

The previous prime is 21418896077. The next prime is 21418896101. The reversal of 21418896096 is 69069881412.

21418896096 is a `hidden beast` number, since 2 + 1 + 418 + 89 + 60 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22474756 + ... + 22475708.

It is an arithmetic number, because the mean of its divisors is an integer number (152719182).

Almost surely, 2^21418896096 is an apocalyptic number.

21418896096 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 21418896096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36652603680).

21418896096 is an abundant number, since it is smaller than the sum of its proper divisors (51886311264).

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

21418896096 is a wasteful number, since it uses less digits than its factorization.

21418896096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 21418896096 in words is "twenty-one billion, four hundred eighteen million, eight hundred ninety-six thousand, ninety-six".