20129366400 has 1152 divisors, whose sum is σ = 82898027520. Its totient is φ = 4257792000.

The previous prime is 20129366381. The next prime is 20129366401. The reversal of 20129366400 is 466392102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20129366401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 468124779 + ... + 468124821.

Almost surely, 2^20129366400 is an apocalyptic number.

20129366400 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 20129366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41449013760).

20129366400 is an abundant number, since it is smaller than the sum of its proper divisors (62768661120).

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

20129366400 is a wasteful number, since it uses less digits than its factorization.

20129366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 20129366400 in words is "twenty billion, one hundred twenty-nine million, three hundred sixty-six thousand, four hundred".