10205655655800 has 384 divisors, whose sum is σ = 34937461002240. Its totient is φ = 2443853913600.

The previous prime is 10205655655753. The next prime is 10205655655807. The reversal of 10205655655800 is 855655650201.

It is a self number, because there is not a number n which added to its sum of digits gives 10205655655800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205655655807) 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, 245030577 + ... + 245072223.

It is an arithmetic number, because the mean of its divisors is an integer number (90982971360).

Almost surely, 2^{10205655655800} is an apocalyptic number.

10205655655800 is a gapful number since it is divisible by the number (10) 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 10205655655800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17468730501120).

10205655655800 is an abundant number, since it is smaller than the sum of its proper divisors (24731805346440).

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

10205655655800 is a wasteful number, since it uses less digits than its factorization.

10205655655800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42131 (or 42122 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 10205655655800 in words is "ten trillion, two hundred five billion, six hundred fifty-five million, six hundred fifty-five thousand, eight hundred".