10531922688 has 432 divisors, whose sum is σ = 37192296960. Its totient is φ = 2797830144.

The previous prime is 10531922657. The next prime is 10531922729. The reversal of 10531922688 is 88622913501.

10531922688 is a `hidden beast` number, since 1 + 0 + 531 + 92 + 26 + 8 + 8 = 666.

It is a super-2 number, since 2×10531922688² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29336653 + ... + 29337011.

It is an arithmetic number, because the mean of its divisors is an integer number (86093280).

Almost surely, 2^10531922688 is an apocalyptic number.

10531922688 is a gapful number since it is divisible by the number (18) 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 10531922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596148480).

10531922688 is an abundant number, since it is smaller than the sum of its proper divisors (26660374272).

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

10531922688 is a wasteful number, since it uses less digits than its factorization.

10531922688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 1053 and 1922688, that added together give a triangular number (1923741 = T₁₉₆₁).

The spelling of 10531922688 in words is "ten billion, five hundred thirty-one million, nine hundred twenty-two thousand, six hundred eighty-eight".