10935025920 has 1440 divisors, whose sum is σ = 51522535680. Its totient is φ = 2149908480.

The previous prime is 10935025903. The next prime is 10935025943. The reversal of 10935025920 is 2952053901.

It is a happy number.

10935025920 is a `hidden beast` number, since 10 + 9 + 3 + 50 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 179262690 + ... + 179262750.

Almost surely, 2^10935025920 is an apocalyptic number.

10935025920 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 10935025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25761267840).

10935025920 is an abundant number, since it is smaller than the sum of its proper divisors (40587509760).

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

10935025920 is a wasteful number, since it uses less digits than its factorization.

10935025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 10935025920 in words is "ten billion, nine hundred thirty-five million, twenty-five thousand, nine hundred twenty".