20149557129200 has 480 divisors, whose sum is σ = 53287582233600. Its totient is φ = 7292533248000.

The previous prime is 20149557129197. The next prime is 20149557129209. The reversal of 20149557129200 is 292175594102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20149557129209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10769404265 + ... + 10769406135.

It is an arithmetic number, because the mean of its divisors is an integer number (111015796320).

Almost surely, 2^{20149557129200} is an apocalyptic number.

20149557129200 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 20149557129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26643791116800).

20149557129200 is an abundant number, since it is smaller than the sum of its proper divisors (33138025104400).

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

20149557129200 is a wasteful number, since it uses less digits than its factorization.

20149557129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 20149557129200 in words is "twenty trillion, one hundred forty-nine billion, five hundred fifty-seven million, one hundred twenty-nine thousand, two hundred".