21459475800000 has 1008 divisors, whose sum is σ = 91121112875520. Its totient is φ = 4904945280000.

The previous prime is 21459475799981. The next prime is 21459475800023. The reversal of 21459475800000 is 857495412.

21459475800000 is a `hidden beast` number, since 2 + 1 + 4 + 594 + 7 + 58 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×21459475800000² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 340168461 + ... + 340231539.

It is an arithmetic number, because the mean of its divisors is an integer number (90397929440).

Almost surely, 2^{21459475800000} is an apocalyptic number.

21459475800000 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 21459475800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45560556437760).

21459475800000 is an abundant number, since it is smaller than the sum of its proper divisors (69661637075520).

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

21459475800000 is an frugal number, since it uses more digits than its factorization.

21459475800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63138 (or 63096 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 21459475800000 in words is "twenty-one trillion, four hundred fifty-nine billion, four hundred seventy-five million, eight hundred thousand".