10205153618912 has 96 divisors (see below), whose sum is σ = 23841681393600. Its totient is φ = 4207123243008.

The previous prime is 10205153618887. The next prime is 10205153618929. The reversal of 10205153618912 is 21981635150201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172633 + ... + 4667480.

It is an arithmetic number, because the mean of its divisors is an integer number (248350847850).

Almost surely, 2^{10205153618912} is an apocalyptic number.

It is an amenable number.

10205153618912 is an abundant number, since it is smaller than the sum of its proper divisors (13636527774688).

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

10205153618912 is a wasteful number, since it uses less digits than its factorization.

10205153618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840428 (or 5840420 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 10205153618912 in words is "ten trillion, two hundred five billion, one hundred fifty-three million, six hundred eighteen thousand, nine hundred twelve".