20298959281440 has 1536 divisors, whose sum is σ = 90452659046400. Its totient is φ = 4145023549440.

The previous prime is 20298959281421. The next prime is 20298959281453. The reversal of 20298959281440 is 4418295989202.

20298959281440 is a `hidden beast` number, since 2 + 0 + 29 + 8 + 9 + 5 + 92 + 81 + 440 = 666.

It is a super-2 number, since 2×20298959281440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 779846346 + ... + 779872374.

It is an arithmetic number, because the mean of its divisors is an integer number (58888449900).

Almost surely, 2^{20298959281440} is an apocalyptic number.

20298959281440 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 20298959281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45226329523200).

20298959281440 is an abundant number, since it is smaller than the sum of its proper divisors (70153699764960).

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

20298959281440 is a wasteful number, since it uses less digits than its factorization.

20298959281440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26155 (or 26141 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 20298959281440 in words is "twenty trillion, two hundred ninety-eight billion, nine hundred fifty-nine million, two hundred eighty-one thousand, four hundred forty".