1023205642600 has 24 divisors (see below), whose sum is σ = 2378953119510. Its totient is φ = 409282256960.

The previous prime is 1023205642531. The next prime is 1023205642633. The reversal of 1023205642600 is 62465023201.

It can be written as a sum of positive squares in 3 ways, for example, as 574045644964 + 449159997636 = 757658^2 + 670194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2558013907 + ... + 2558014306.

Almost surely, 2^{1023205642600} is an apocalyptic number.

1023205642600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023205642600 is an abundant number, since it is smaller than the sum of its proper divisors (1355747476910).

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

1023205642600 is a wasteful number, since it uses less digits than its factorization.

1023205642600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116028229 (or 5116028220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 1023205642600 in words is "one trillion, twenty-three billion, two hundred five million, six hundred forty-two thousand, six hundred".