21011028480 has 640 divisors, whose sum is σ = 81807264000. Its totient is φ = 5080154112.

The previous prime is 21011028449. The next prime is 21011028481. The reversal of 21011028480 is 8482011012.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×21011028480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21011028481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60203346 + ... + 60203694.

It is an arithmetic number, because the mean of its divisors is an integer number (127823850).

Almost surely, 2^21011028480 is an apocalyptic number.

21011028480 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 21011028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40903632000).

21011028480 is an abundant number, since it is smaller than the sum of its proper divisors (60796235520).

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

21011028480 is a wasteful number, since it uses less digits than its factorization.

21011028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 21011028480 its reverse (8482011012), we get a palindrome (29493039492).

The spelling of 21011028480 in words is "twenty-one billion, eleven million, twenty-eight thousand, four hundred eighty".