10523072340 has 192 divisors, whose sum is σ = 36012291840. Its totient is φ = 2551047840.

The previous prime is 10523072333. The next prime is 10523072383. The reversal of 10523072340 is 4327032501.

10523072340 is a `hidden beast` number, since 10 + 5 + 2 + 307 + 2 + 340 = 666.

It is a super-2 number, since 2×10523072340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 956642935 + ... + 956642945.

It is an arithmetic number, because the mean of its divisors is an integer number (187564020).

Almost surely, 2^10523072340 is an apocalyptic number.

10523072340 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 10523072340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006145920).

10523072340 is an abundant number, since it is smaller than the sum of its proper divisors (25489219500).

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

10523072340 is an frugal number, since it uses more digits than its factorization.

10523072340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 10523072340 in words is "ten billion, five hundred twenty-three million, seventy-two thousand, three hundred forty".