20524214400 has 192 divisors, whose sum is σ = 67792015200. Its totient is φ = 5457715200.

The previous prime is 20524214387. The next prime is 20524214413. The reversal of 20524214400 is 441242502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20524214387) and next prime (20524214413).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3635580 + ... + 3641220.

Almost surely, 2^20524214400 is an apocalyptic number.

20524214400 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 20524214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33896007600).

20524214400 is an abundant number, since it is smaller than the sum of its proper divisors (47267800800).

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

20524214400 is a wasteful number, since it uses less digits than its factorization.

20524214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 20524214400 its reverse (441242502), we get a palindrome (20965456902).

The spelling of 20524214400 in words is "twenty billion, five hundred twenty-four million, two hundred fourteen thousand, four hundred".