21988467072 has 384 divisors, whose sum is σ = 74992619520. Its totient is φ = 6096384000.

The previous prime is 21988467031. The next prime is 21988467091. The reversal of 21988467072 is 27076488912.

It is a happy number.

21988467072 is a `hidden beast` number, since 21 + 98 + 8 + 467 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 20920947 + ... + 20921997.

It is an arithmetic number, because the mean of its divisors is an integer number (195293280).

Almost surely, 2^21988467072 is an apocalyptic number.

21988467072 is a gapful number since it is divisible by the number (22) 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 21988467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37496309760).

21988467072 is an abundant number, since it is smaller than the sum of its proper divisors (53004152448).

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

21988467072 is a wasteful number, since it uses less digits than its factorization.

21988467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 21988467072 in words is "twenty-one billion, nine hundred eighty-eight million, four hundred sixty-seven thousand, seventy-two".