20532451440 has 320 divisors, whose sum is σ = 68667033600. Its totient is φ = 5061906432.

The previous prime is 20532451391. The next prime is 20532451451. The reversal of 20532451440 is 4415423502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20532451398 and 20532451407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46770741 + ... + 46771179.

It is an arithmetic number, because the mean of its divisors is an integer number (214584480).

Almost surely, 2^20532451440 is an apocalyptic number.

20532451440 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 20532451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34333516800).

20532451440 is an abundant number, since it is smaller than the sum of its proper divisors (48134582160).

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

20532451440 is a wasteful number, since it uses less digits than its factorization.

20532451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 20532451440 its reverse (4415423502), we get a palindrome (24947874942).

The spelling of 20532451440 in words is "twenty billion, five hundred thirty-two million, four hundred fifty-one thousand, four hundred forty".