21513078384000 has 1536 divisors, whose sum is σ = 85948996423680. Its totient is φ = 4743137280000.

The previous prime is 21513078383963. The next prime is 21513078384023. The reversal of 21513078384000 is 48387031512.

It is a super-2 number, since 2×21513078384000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 7848622630 + ... + 7848625370.

It is an arithmetic number, because the mean of its divisors is an integer number (55956377880).

Almost surely, 2^{21513078384000} is an apocalyptic number.

21513078384000 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 21513078384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42974498211840).

21513078384000 is an abundant number, since it is smaller than the sum of its proper divisors (64435918039680).

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

21513078384000 is a wasteful number, since it uses less digits than its factorization.

21513078384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 21513078384000 in words is "twenty-one trillion, five hundred thirteen billion, seventy-eight million, three hundred eighty-four thousand".