20598913440 has 768 divisors, whose sum is σ = 86568652800. Its totient is φ = 4475326464.

The previous prime is 20598913427. The next prime is 20598913471. The reversal of 20598913440 is 4431989502.

20598913440 is a `hidden beast` number, since 2 + 0 + 598 + 9 + 13 + 4 + 40 = 666.

It is a super-3 number, since 3×20598913440³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 72787539 + ... + 72787821.

It is an arithmetic number, because the mean of its divisors is an integer number (112719600).

Almost surely, 2^20598913440 is an apocalyptic number.

20598913440 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 20598913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43284326400).

20598913440 is an abundant number, since it is smaller than the sum of its proper divisors (65969739360).

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

20598913440 is a wasteful number, since it uses less digits than its factorization.

20598913440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20598913440 in words is "twenty billion, five hundred ninety-eight million, nine hundred thirteen thousand, four hundred forty".