20239349760 has 576 divisors, whose sum is σ = 81104587200. Its totient is φ = 4572315648.

The previous prime is 20239349699. The next prime is 20239349783. The reversal of 20239349760 is 6794393202.

20239349760 is a `hidden beast` number, since 2 + 0 + 239 + 349 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20239349760² (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, 88381326 + ... + 88381554.

It is an arithmetic number, because the mean of its divisors is an integer number (140806575).

Almost surely, 2^20239349760 is an apocalyptic number.

20239349760 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 20239349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40552293600).

20239349760 is an abundant number, since it is smaller than the sum of its proper divisors (60865237440).

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

20239349760 is a wasteful number, since it uses less digits than its factorization.

20239349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20239349760 in words is "twenty billion, two hundred thirty-nine million, three hundred forty-nine thousand, seven hundred sixty".