21887658412560 has 640 divisors, whose sum is σ = 77799120537600. Its totient is φ = 5652751104000.

The previous prime is 21887658412493. The next prime is 21887658412561. The reversal of 21887658412560 is 6521485678812.

21887658412560 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 7 + 6 + 58 + 4 + 12 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (21887658412561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6732590935 + ... + 6732594185.

It is an arithmetic number, because the mean of its divisors is an integer number (121561125840).

Almost surely, 2^{21887658412560} is an apocalyptic number.

21887658412560 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 21887658412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38899560268800).

21887658412560 is an abundant number, since it is smaller than the sum of its proper divisors (55911462125040).

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

21887658412560 is a wasteful number, since it uses less digits than its factorization.

21887658412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 21887658412560 in words is "twenty-one trillion, eight hundred eighty-seven billion, six hundred fifty-eight million, four hundred twelve thousand, five hundred sixty".