10692432643200 has 1536 divisors, whose sum is σ = 46565119641600. Its totient is φ = 2089127116800.

The previous prime is 10692432643199. The next prime is 10692432643231. The reversal of 10692432643200 is 234623429601.

It is a super-2 number, since 2×10692432643200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1924134822 + ... + 1924140378.

It is an arithmetic number, because the mean of its divisors is an integer number (30315833100).

Almost surely, 2^{10692432643200} is an apocalyptic number.

10692432643200 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 10692432643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23282559820800).

10692432643200 is an abundant number, since it is smaller than the sum of its proper divisors (35872686998400).

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

10692432643200 is a wasteful number, since it uses less digits than its factorization.

10692432643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 10692432643200 in words is "ten trillion, six hundred ninety-two billion, four hundred thirty-two million, six hundred forty-three thousand, two hundred".