21265040160000 has 5400 divisors, whose sum is σ = 104630932633920. Its totient is φ = 4192321536000.

The previous prime is 21265040159933. The next prime is 21265040160029. The reversal of 21265040160000 is 6104056212.

21265040160000 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 50 + 4 + 0 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 291301919964 + ... + 291301920036.

Almost surely, 2^{21265040160000} is an apocalyptic number.

21265040160000 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 21265040160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52315466316960).

21265040160000 is an abundant number, since it is smaller than the sum of its proper divisors (83365892473920).

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

21265040160000 is an equidigital number, since it uses as much as digits as its factorization.

21265040160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21265040160000 in words is "twenty-one trillion, two hundred sixty-five billion, forty million, one hundred sixty thousand".