10535319133920 has 960 divisors, whose sum is σ = 43909229371392. Its totient is φ = 2327947776000.

The previous prime is 10535319133909. The next prime is 10535319133931. The reversal of 10535319133920 is 2933191353501.

10535319133920 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 531 + 91 + 3 + 3 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10535319133909) and next prime (10535319133931).

It is a super-2 number, since 2×10535319133920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4558769565 + ... + 4558771875.

Almost surely, 2^{10535319133920} is an apocalyptic number.

10535319133920 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 10535319133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954614685696).

10535319133920 is an abundant number, since it is smaller than the sum of its proper divisors (33373910237472).

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

10535319133920 is a wasteful number, since it uses less digits than its factorization.

10535319133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 10535319133920 in words is "ten trillion, five hundred thirty-five billion, three hundred nineteen million, one hundred thirty-three thousand, nine hundred twenty".