21966960337920 has 1056 divisors, whose sum is σ = 82832452265472. Its totient is φ = 5350692225024.

The previous prime is 21966960337913. The next prime is 21966960337963. The reversal of 21966960337920 is 2973306966912.

21966960337920 is a `hidden beast` number, since 2 + 19 + 6 + 6 + 9 + 603 + 3 + 7 + 9 + 2 + 0 = 666.

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, 35835171534 + ... + 35835172146.

Almost surely, 2^{21966960337920} is an apocalyptic number.

21966960337920 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 21966960337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41416226132736).

21966960337920 is an abundant number, since it is smaller than the sum of its proper divisors (60865491927552).

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

21966960337920 is a wasteful number, since it uses less digits than its factorization.

21966960337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 21966960337920 in words is "twenty-one trillion, nine hundred sixty-six billion, nine hundred sixty million, three hundred thirty-seven thousand, nine hundred twenty".