20492340960 has 288 divisors, whose sum is σ = 80867136672. Its totient is φ = 4323594240.

The previous prime is 20492340943. The next prime is 20492340983. The reversal of 20492340960 is 6904329402.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 272250 + ... + 339270.

It is an arithmetic number, because the mean of its divisors is an integer number (280788669).

Almost surely, 2^20492340960 is an apocalyptic number.

20492340960 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 20492340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40433568336).

20492340960 is an abundant number, since it is smaller than the sum of its proper divisors (60374795712).

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

20492340960 is a wasteful number, since it uses less digits than its factorization.

20492340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67066 (or 67051 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 20492340960 in words is "twenty billion, four hundred ninety-two million, three hundred forty thousand, nine hundred sixty".