20575780654000 has 240 divisors, whose sum is σ = 58892994669600. Its totient is φ = 6906554688000.

The previous prime is 20575780653887. The next prime is 20575780654003. The reversal of 20575780654000 is 45608757502.

It is a happy number.

It is a super-4 number, since 4×20575780654000⁴ (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (20575780654003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124150 + ... + 6416149.

It is an arithmetic number, because the mean of its divisors is an integer number (245387477790).

Almost surely, 2^{20575780654000} is an apocalyptic number.

20575780654000 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 20575780654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29446497334800).

20575780654000 is an abundant number, since it is smaller than the sum of its proper divisors (38317214015600).

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

20575780654000 is a wasteful number, since it uses less digits than its factorization.

20575780654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540357 (or 6540330 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 49.

The spelling of 20575780654000 in words is "twenty trillion, five hundred seventy-five billion, seven hundred eighty million, six hundred fifty-four thousand".