10506935340 has 288 divisors, whose sum is σ = 36977181696. Its totient is φ = 2386667520.

The previous prime is 10506935321. The next prime is 10506935359. The reversal of 10506935340 is 4353960501.

10506935340 is a `hidden beast` number, since 10 + 50 + 69 + 3 + 534 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10506935321) and next prime (10506935359).

It is a super-2 number, since 2×10506935340² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10506935295 and 10506935304.

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, 9525229 + ... + 9526331.

It is an arithmetic number, because the mean of its divisors is an integer number (128392992).

Almost surely, 2^10506935340 is an apocalyptic number.

10506935340 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 10506935340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488590848).

10506935340 is an abundant number, since it is smaller than the sum of its proper divisors (26470246356).

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

10506935340 is a wasteful number, since it uses less digits than its factorization.

10506935340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10506935340 in words is "ten billion, five hundred six million, nine hundred thirty-five thousand, three hundred forty".