20754785520 has 240 divisors, whose sum is σ = 82609712640. Its totient is φ = 4743919872.

The previous prime is 20754785509. The next prime is 20754785567. The reversal of 20754785520 is 2558745702.

20754785520 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 47 + 85 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20754785520² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59821 + ... + 212339.

It is an arithmetic number, because the mean of its divisors is an integer number (344207136).

Almost surely, 2^20754785520 is an apocalyptic number.

20754785520 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 20754785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41304856320).

20754785520 is an abundant number, since it is smaller than the sum of its proper divisors (61854927120).

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

20754785520 is a wasteful number, since it uses less digits than its factorization.

20754785520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152554 (or 152536 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 20754785520 in words is "twenty billion, seven hundred fifty-four million, seven hundred eighty-five thousand, five hundred twenty".