10835521920 has 192 divisors, whose sum is σ = 37768245840. Its totient is φ = 2862305280.

The previous prime is 10835521909. The next prime is 10835521967. The reversal of 10835521920 is 2912553801.

10835521920 is a `hidden beast` number, since 1 + 0 + 83 + 552 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 607530 + ... + 625110.

Almost surely, 2^10835521920 is an apocalyptic number.

10835521920 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 10835521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884122920).

10835521920 is an abundant number, since it is smaller than the sum of its proper divisors (26932723920).

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

10835521920 is a wasteful number, since it uses less digits than its factorization.

10835521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17713 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10835521920 in words is "ten billion, eight hundred thirty-five million, five hundred twenty-one thousand, nine hundred twenty".