20531782602240 has 640 divisors, whose sum is σ = 85036547312640. Its totient is φ = 4103978876928.

The previous prime is 20531782602193. The next prime is 20531782602301. The reversal of 20531782602240 is 4220628713502.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×20531782602240³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20531782602192 and 20531782602201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12505612 + ... + 14051828.

It is an arithmetic number, because the mean of its divisors is an integer number (132869605176).

Almost surely, 2^{20531782602240} is an apocalyptic number.

20531782602240 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 20531782602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42518273656320).

20531782602240 is an abundant number, since it is smaller than the sum of its proper divisors (64504764710400).

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

20531782602240 is a wasteful number, since it uses less digits than its factorization.

20531782602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546282 (or 1546266 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 20531782602240 in words is "twenty trillion, five hundred thirty-one billion, seven hundred eighty-two million, six hundred two thousand, two hundred forty".