21383486006400 has 1152 divisors, whose sum is σ = 92277708432000. Its totient is φ = 4887592980480.

The previous prime is 21383486006297. The next prime is 21383486006411. The reversal of 21383486006400 is 460068438312.

21383486006400 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 34 + 8 + 600 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×21383486006400³ (a number of 41 digits) contains 333 as substring.

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

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, 266676714 + ... + 266756886.

Almost surely, 2^{21383486006400} is an apocalyptic number.

21383486006400 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 21383486006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46138854216000).

21383486006400 is an abundant number, since it is smaller than the sum of its proper divisors (70894222425600).

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

21383486006400 is an frugal number, since it uses more digits than its factorization.

21383486006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80233 (or 80190 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 21383486006400 in words is "twenty-one trillion, three hundred eighty-three billion, four hundred eighty-six million, six thousand, four hundred".