20538349949040 has 640 divisors, whose sum is σ = 83792565504000. Its totient is φ = 4120541429760.

The previous prime is 20538349949027. The next prime is 20538349949053. The reversal of 20538349949040 is 4094994383502.

It is an interprime number because it is at equal distance from previous prime (20538349949027) and next prime (20538349949053).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25869024 + ... + 26651136.

It is an arithmetic number, because the mean of its divisors is an integer number (130925883600).

Almost surely, 2^{20538349949040} is an apocalyptic number.

20538349949040 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 20538349949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41896282752000).

20538349949040 is an abundant number, since it is smaller than the sum of its proper divisors (63254215554960).

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

20538349949040 is a wasteful number, since it uses less digits than its factorization.

20538349949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782190 (or 782170 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 20538349949040 in words is "twenty trillion, five hundred thirty-eight billion, three hundred forty-nine million, nine hundred forty-nine thousand, forty".