10892869632 has 304 divisors, whose sum is σ = 34393227200. Its totient is φ = 3439853568.

The previous prime is 10892869583. The next prime is 10892869633. The reversal of 10892869632 is 23696829801.

It is a tau number, because it is divible by the number of its divisors (304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10892869633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573308919 + ... + 573308937.

Almost surely, 2^10892869632 is an apocalyptic number.

10892869632 is a gapful number since it is divisible by the number (12) 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 10892869632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196613600).

10892869632 is an abundant number, since it is smaller than the sum of its proper divisors (23500357568).

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

10892869632 is an frugal number, since it uses more digits than its factorization.

10892869632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10892869632 in words is "ten billion, eight hundred ninety-two million, eight hundred sixty-nine thousand, six hundred thirty-two".