21961207296000 has 3120 divisors, whose sum is σ = 97083556476192. Its totient is φ = 4923555840000.

The previous prime is 21961207295999. The next prime is 21961207296059. The reversal of 21961207296000 is 69270216912.

21961207296000 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 12 + 0 + 7 + 29 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 205244927947 + ... + 205244928053.

Almost surely, 2^{21961207296000} is an apocalyptic number.

21961207296000 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 21961207296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48541778238096).

21961207296000 is an abundant number, since it is smaller than the sum of its proper divisors (75122349180192).

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

21961207296000 is a wasteful number, since it uses less digits than its factorization.

21961207296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 21961207296000 in words is "twenty-one trillion, nine hundred sixty-one billion, two hundred seven million, two hundred ninety-six thousand".