10905753600 has 1152 divisors, whose sum is σ = 48746880000. Its totient is φ = 2384363520.

The previous prime is 10905753583. The next prime is 10905753619. The reversal of 10905753600 is 635750901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474163189 + ... + 474163211.

It is an arithmetic number, because the mean of its divisors is an integer number (42315000).

Almost surely, 2^10905753600 is an apocalyptic number.

10905753600 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 10905753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440000).

10905753600 is an abundant number, since it is smaller than the sum of its proper divisors (37841126400).

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

10905753600 is an equidigital number, since it uses as much as digits as its factorization.

10905753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 10905753600 in words is "ten billion, nine hundred five million, seven hundred fifty-three thousand, six hundred".