20961908352000 has 5280 divisors, whose sum is σ = 103179572001792. Its totient is φ = 4215214080000.

The previous prime is 20961908351977. The next prime is 20961908352037. The reversal of 20961908352000 is 25380916902.

20961908352000 is a `hidden beast` number, since 2 + 0 + 9 + 619 + 0 + 8 + 3 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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 479 ways as a sum of consecutive naturals, for example, 676190591985 + ... + 676190592015.

Almost surely, 2^{20961908352000} is an apocalyptic number.

20961908352000 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 20961908352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589786000896).

20961908352000 is an abundant number, since it is smaller than the sum of its proper divisors (82217663649792).

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

20961908352000 is an equidigital number, since it uses as much as digits as its factorization.

20961908352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20961908352000 in words is "twenty trillion, nine hundred sixty-one billion, nine hundred eight million, three hundred fifty-two thousand".