21988029072 has 320 divisors, whose sum is σ = 65735792640. Its totient is φ = 6295449600.

The previous prime is 21988029067. The next prime is 21988029097. The reversal of 21988029072 is 27092088912.

It is a super-2 number, since 2×21988029072² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31820247 + ... + 31820937.

It is an arithmetic number, because the mean of its divisors is an integer number (205424352).

Almost surely, 2^21988029072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21988029072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32867896320).

21988029072 is an abundant number, since it is smaller than the sum of its proper divisors (43747763568).

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

21988029072 is a wasteful number, since it uses less digits than its factorization.

21988029072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 21988029072 in words is "twenty-one billion, nine hundred eighty-eight million, twenty-nine thousand, seventy-two".