21748787159040 has 1792 divisors, whose sum is σ = 84684875120640. Its totient is φ = 5274442137600.

The previous prime is 21748787159039. The next prime is 21748787159051. The reversal of 21748787159040 is 4095178784712.

21748787159040 is a `hidden beast` number, since 2 + 17 + 487 + 8 + 7 + 15 + 90 + 40 = 666.

It is an unprimeable number.

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, 133428141999 + ... + 133428142161.

Almost surely, 2^{21748787159040} is an apocalyptic number.

21748787159040 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 21748787159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42342437560320).

21748787159040 is an abundant number, since it is smaller than the sum of its proper divisors (62936087961600).

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

21748787159040 is a wasteful number, since it uses less digits than its factorization.

21748787159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 21748787159040 in words is "twenty-one trillion, seven hundred forty-eight billion, seven hundred eighty-seven million, one hundred fifty-nine thousand, forty".