21419754048 has 672 divisors, whose sum is σ = 82083176448. Its totient is φ = 5374771200.

The previous prime is 21419754043. The next prime is 21419754089. The reversal of 21419754048 is 84045791412.

21419754048 is a `hidden beast` number, since 2 + 14 + 1 + 97 + 540 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 21419753994 and 21419754012.

It is not an unprimeable number, because it can be changed into a prime (21419754043) 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, 37122336 + ... + 37122912.

It is an arithmetic number, because the mean of its divisors is an integer number (122147584).

Almost surely, 2^21419754048 is an apocalyptic number.

21419754048 is a gapful number since it is divisible by the number (28) 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 21419754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041588224).

21419754048 is an abundant number, since it is smaller than the sum of its proper divisors (60663422400).

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

21419754048 is a wasteful number, since it uses less digits than its factorization.

21419754048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 21419754048 in words is "twenty-one billion, four hundred nineteen million, seven hundred fifty-four thousand, forty-eight".