20534225310400 has 336 divisors, whose sum is σ = 53030318128128. Its totient is φ = 7811020800000.

The previous prime is 20534225310397. The next prime is 20534225310409. The reversal of 20534225310400 is 401352243502.

It is not an unprimeable number, because it can be changed into a prime (20534225310409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6660467259 + ... + 6660470341.

Almost surely, 2^{20534225310400} is an apocalyptic number.

20534225310400 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 20534225310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515159064064).

20534225310400 is an abundant number, since it is smaller than the sum of its proper divisors (32496092817728).

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

20534225310400 is a wasteful number, since it uses less digits than its factorization.

20534225310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 20534225310400 its reverse (401352243502), we get a palindrome (20935577553902).

The spelling of 20534225310400 in words is "twenty trillion, five hundred thirty-four billion, two hundred twenty-five million, three hundred ten thousand, four hundred".