205154342400 has 240 divisors, whose sum is σ = 774531926784. Its totient is φ = 46892359680.

The previous prime is 205154342389. The next prime is 205154342431. The reversal of 205154342400 is 4243451502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 112812 + ... + 650411.

Almost surely, 2^205154342400 is an apocalyptic number.

205154342400 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 205154342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387265963392).

205154342400 is an abundant number, since it is smaller than the sum of its proper divisors (569377584384).

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

205154342400 is an equidigital number, since it uses as much as digits as its factorization.

205154342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763261 (or 763240 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 205154342400 its reverse (4243451502), we get a palindrome (209397793902).

The spelling of 205154342400 in words is "two hundred five billion, one hundred fifty-four million, three hundred forty-two thousand, four hundred".