21698976000 has 288 divisors, whose sum is σ = 77621701248. Its totient is φ = 5340979200.

The previous prime is 21698975989. The next prime is 21698976017. The reversal of 21698976000 is 67989612.

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 31 ways as a sum of consecutive naturals, for example, 1239307 + ... + 1256693.

It is an arithmetic number, because the mean of its divisors is an integer number (269519796).

Almost surely, 2^21698976000 is an apocalyptic number.

21698976000 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 21698976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38810850624).

21698976000 is an abundant number, since it is smaller than the sum of its proper divisors (55922725248).

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

21698976000 is a wasteful number, since it uses less digits than its factorization.

21698976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17434 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 21698976000 in words is "twenty-one billion, six hundred ninety-eight million, nine hundred seventy-six thousand".