20417345088 has 336 divisors, whose sum is σ = 66100293504. Its totient is φ = 5535129600.

The previous prime is 20417345027. The next prime is 20417345101. The reversal of 20417345088 is 88054371402.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 33971988 + ... + 33972588.

It is an arithmetic number, because the mean of its divisors is an integer number (196727064).

Almost surely, 2^20417345088 is an apocalyptic number.

20417345088 is a gapful number since it is divisible by the number (28) 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 20417345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33050146752).

20417345088 is an abundant number, since it is smaller than the sum of its proper divisors (45682948416).

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

20417345088 is a wasteful number, since it uses less digits than its factorization.

20417345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 20417345088 in words is "twenty billion, four hundred seventeen million, three hundred forty-five thousand, eighty-eight".