10531192320 has 800 divisors, whose sum is σ = 43492394880. Its totient is φ = 2418647040.

The previous prime is 10531192319. The next prime is 10531192333. The reversal of 10531192320 is 2329113501.

10531192320 is a `hidden beast` number, since 10 + 531 + 1 + 92 + 32 + 0 = 666.

It is a super-2 number, since 2×10531192320² (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 79 ways as a sum of consecutive naturals, for example, 554273271 + ... + 554273289.

Almost surely, 2^10531192320 is an apocalyptic number.

10531192320 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 10531192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21746197440).

10531192320 is an abundant number, since it is smaller than the sum of its proper divisors (32961202560).

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

10531192320 is an frugal number, since it uses more digits than its factorization.

10531192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10531192320 in words is "ten billion, five hundred thirty-one million, one hundred ninety-two thousand, three hundred twenty".