21054485760 has 576 divisors, whose sum is σ = 86577168384. Its totient is φ = 4231987200.

The previous prime is 21054485759. The next prime is 21054485761. The reversal of 21054485760 is 6758445012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21054485759) and next prime (21054485761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21054485761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9164932 + ... + 9167228.

It is an arithmetic number, because the mean of its divisors is an integer number (150307584).

Almost surely, 2^21054485760 is an apocalyptic number.

21054485760 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 21054485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43288584192).

21054485760 is an abundant number, since it is smaller than the sum of its proper divisors (65522682624).

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

21054485760 is a wasteful number, since it uses less digits than its factorization.

21054485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 21054485760 in words is "twenty-one billion, fifty-four million, four hundred eighty-five thousand, seven hundred sixty".