20537044295040 has 6912 divisors, whose sum is σ = 105163706419200. Its totient is φ = 3651977871360.

The previous prime is 20537044294969. The next prime is 20537044295153. The reversal of 20537044295040 is 4059244073502.

20537044295040 is a `hidden beast` number, since 2 + 0 + 53 + 70 + 4 + 4 + 29 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 477605681259 + ... + 477605681301.

It is an arithmetic number, because the mean of its divisors is an integer number (15214656600).

Almost surely, 2^{20537044295040} is an apocalyptic number.

20537044295040 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 20537044295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52581853209600).

20537044295040 is an abundant number, since it is smaller than the sum of its proper divisors (84626662124160).

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

20537044295040 is a wasteful number, since it uses less digits than its factorization.

20537044295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 20537044295040 in words is "twenty trillion, five hundred thirty-seven billion, forty-four million, two hundred ninety-five thousand, forty".