20540263152640 has 704 divisors, whose sum is σ = 64218297968640. Its totient is φ = 6112664616960.

The previous prime is 20540263152599. The next prime is 20540263152769. The reversal of 20540263152640 is 4625136204502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20540263152593 and 20540263152602.

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, 5921088826 + ... + 5921092294.

Almost surely, 2^{20540263152640} is an apocalyptic number.

20540263152640 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 20540263152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32109148984320).

20540263152640 is an abundant number, since it is smaller than the sum of its proper divisors (43678034816000).

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

20540263152640 is a wasteful number, since it uses less digits than its factorization.

20540263152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 20540263152640 in words is "twenty trillion, five hundred forty billion, two hundred sixty-three million, one hundred fifty-two thousand, six hundred forty".