21765487887360 has 1056 divisors, whose sum is σ = 91172402680320. Its totient is φ = 4693361688576.

The previous prime is 21765487887329. The next prime is 21765487887371. The reversal of 21765487887360 is 6378878456712.

21765487887360 is a `hidden beast` number, since 2 + 1 + 7 + 6 + 5 + 487 + 8 + 87 + 3 + 60 = 666.

It is a super-3 number, since 3×21765487887360³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 541558146 + ... + 541598334.

Almost surely, 2^{21765487887360} is an apocalyptic number.

21765487887360 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 21765487887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45586201340160).

21765487887360 is an abundant number, since it is smaller than the sum of its proper divisors (69406914792960).

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

21765487887360 is a wasteful number, since it uses less digits than its factorization.

21765487887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40323 (or 40302 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 21765487887360 in words is "twenty-one trillion, seven hundred sixty-five billion, four hundred eighty-seven million, eight hundred eighty-seven thousand, three hundred sixty".