21145023624480 has 288 divisors, whose sum is σ = 76707814603392. Its totient is φ = 4796240916480.

The previous prime is 21145023624467. The next prime is 21145023624533. The reversal of 21145023624480 is 8442632054112.

It is a super-2 number, since 2×21145023624480² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57477604 + ... + 57844316.

It is an arithmetic number, because the mean of its divisors is an integer number (266346578484).

Almost surely, 2^{21145023624480} is an apocalyptic number.

21145023624480 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 21145023624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38353907301696).

21145023624480 is an abundant number, since it is smaller than the sum of its proper divisors (55562790978912).

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

21145023624480 is a wasteful number, since it uses less digits than its factorization.

21145023624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367000 (or 366861 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

Adding to 21145023624480 its reverse (8442632054112), we get a palindrome (29587655678592).

The spelling of 21145023624480 in words is "twenty-one trillion, one hundred forty-five billion, twenty-three million, six hundred twenty-four thousand, four hundred eighty".