20129006400 has 672 divisors, whose sum is σ = 73677962880. Its totient is φ = 4789370880.

The previous prime is 20129006327. The next prime is 20129006413. The reversal of 20129006400 is 460092102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178132744 + ... + 178132856.

Almost surely, 2^20129006400 is an apocalyptic number.

20129006400 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 20129006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36838981440).

20129006400 is an abundant number, since it is smaller than the sum of its proper divisors (53548956480).

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

20129006400 is a wasteful number, since it uses less digits than its factorization.

20129006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 20129006400 its reverse (460092102), we get a palindrome (20589098502).

The spelling of 20129006400 in words is "twenty billion, one hundred twenty-nine million, six thousand, four hundred".