20154235200 has 336 divisors, whose sum is σ = 72385367040. Its totient is φ = 4868864000.

The previous prime is 20154235187. The next prime is 20154235201. The reversal of 20154235200 is 253245102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20154235201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22122745 + ... + 22123655.

It is an arithmetic number, because the mean of its divisors is an integer number (215432640).

Almost surely, 2^20154235200 is an apocalyptic number.

20154235200 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 20154235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36192683520).

20154235200 is an abundant number, since it is smaller than the sum of its proper divisors (52231131840).

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

20154235200 is a wasteful number, since it uses less digits than its factorization.

20154235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 20154235200 in words is "twenty billion, one hundred fifty-four million, two hundred thirty-five thousand, two hundred".