21988370160 has 480 divisors, whose sum is σ = 82057248000. Its totient is φ = 5455392768.

The previous prime is 21988370113. The next prime is 21988370189. The reversal of 21988370160 is 6107388912.

21988370160 is a `hidden beast` number, since 219 + 8 + 8 + 370 + 1 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 21791736 + ... + 21792744.

It is an arithmetic number, because the mean of its divisors is an integer number (170952600).

Almost surely, 2^21988370160 is an apocalyptic number.

21988370160 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 21988370160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41028624000).

21988370160 is an abundant number, since it is smaller than the sum of its proper divisors (60068877840).

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

21988370160 is a wasteful number, since it uses less digits than its factorization.

21988370160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21988370160 in words is "twenty-one billion, nine hundred eighty-eight million, three hundred seventy thousand, one hundred sixty".