20572075217760 has 288 divisors, whose sum is σ = 71326807808256. Its totient is φ = 4980299596800.

The previous prime is 20572075217671. The next prime is 20572075217801. The reversal of 20572075217760 is 6771257027502.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 41980555 + ... + 42467765.

It is an arithmetic number, because the mean of its divisors is an integer number (247662527112).

Almost surely, 2^{20572075217760} is an apocalyptic number.

20572075217760 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 20572075217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663403904128).

20572075217760 is an abundant number, since it is smaller than the sum of its proper divisors (50754732590496).

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

20572075217760 is a wasteful number, since it uses less digits than its factorization.

20572075217760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487978 (or 487959 counting only the distinct ones).

The product of its (nonzero) digits is 2881200, while the sum is 51.

The spelling of 20572075217760 in words is "twenty trillion, five hundred seventy-two billion, seventy-five million, two hundred seventeen thousand, seven hundred sixty".