10205711152 has 80 divisors (see below), whose sum is σ = 24522930432. Its totient is φ = 4006529280.

The previous prime is 10205711107. The next prime is 10205711161. The reversal of 10205711152 is 25111750201.

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, 163983 + ... + 217489.

Almost surely, 2^10205711152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205711152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261465216).

10205711152 is an abundant number, since it is smaller than the sum of its proper divisors (14317219280).

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

10205711152 is a wasteful number, since it uses less digits than its factorization.

10205711152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53666 (or 53660 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 25.

The spelling of 10205711152 in words is "ten billion, two hundred five million, seven hundred eleven thousand, one hundred fifty-two".