21871632960 has 784 divisors, whose sum is σ = 83653061040. Its totient is φ = 5434490880.

The previous prime is 21871632943. The next prime is 21871632997. The reversal of 21871632960 is 6923617812.

21871632960 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 1 + 632 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1301189184 + 20570443776 = 36072^2 + 143424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 358551330 + ... + 358551390.

Almost surely, 2^21871632960 is an apocalyptic number.

21871632960 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 21871632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41826530520).

21871632960 is an abundant number, since it is smaller than the sum of its proper divisors (61781428080).

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

21871632960 is an equidigital number, since it uses as much as digits as its factorization.

21871632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21871632960 in words is "twenty-one billion, eight hundred seventy-one million, six hundred thirty-two thousand, nine hundred sixty".