20288765952 has 648 divisors, whose sum is σ = 76145201496. Its totient is φ = 5350883328.

The previous prime is 20288765941. The next prime is 20288765969. The reversal of 20288765952 is 25956788202.

It is a happy number.

20288765952 is a `hidden beast` number, since 20 + 28 + 8 + 7 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1560674298 + ... + 1560674310.

It is an arithmetic number, because the mean of its divisors is an integer number (117508027).

Almost surely, 2^20288765952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20288765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38072600748).

20288765952 is an abundant number, since it is smaller than the sum of its proper divisors (55856435544).

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

20288765952 is an frugal number, since it uses more digits than its factorization.

20288765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20288765952 in words is "twenty billion, two hundred eighty-eight million, seven hundred sixty-five thousand, nine hundred fifty-two".