21414085966080 has 504 divisors, whose sum is σ = 76945345572480. Its totient is φ = 5707424747520.

The previous prime is 21414085966061. The next prime is 21414085966087. The reversal of 21414085966080 is 8066958041412.

21414085966080 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 40 + 8 + 596 + 6 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21414085966087) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2212422681 + ... + 2212432359.

Almost surely, 2^{21414085966080} is an apocalyptic number.

21414085966080 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 21414085966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38472672786240).

21414085966080 is an abundant number, since it is smaller than the sum of its proper divisors (55531259606400).

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

21414085966080 is an frugal number, since it uses more digits than its factorization.

21414085966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 21414085966080 in words is "twenty-one trillion, four hundred fourteen billion, eighty-five million, nine hundred sixty-six thousand, eighty".