21506362760 has 64 divisors (see below), whose sum is σ = 49507718400. Its totient is φ = 8405968896.

The previous prime is 21506362741. The next prime is 21506362781. The reversal of 21506362760 is 6726360512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271439 + ... + 341601.

It is an arithmetic number, because the mean of its divisors is an integer number (773558100).

Almost surely, 2^21506362760 is an apocalyptic number.

21506362760 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 21506362760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24753859200).

21506362760 is an abundant number, since it is smaller than the sum of its proper divisors (28001355640).

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

21506362760 is a wasteful number, since it uses less digits than its factorization.

21506362760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70350 (or 70346 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 21506362760 in words is "twenty-one billion, five hundred six million, three hundred sixty-two thousand, seven hundred sixty".