10692215952 has 160 divisors (see below), whose sum is σ = 32742666240. Its totient is φ = 2970432000.

The previous prime is 10692215917. The next prime is 10692215953. The reversal of 10692215952 is 25951229601.

It is a happy number.

It is a super-2 number, since 2×10692215952² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10692215953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293802 + ... + 328182.

It is an arithmetic number, because the mean of its divisors is an integer number (204641664).

Almost surely, 2^10692215952 is an apocalyptic number.

10692215952 is a gapful number since it is divisible by the number (12) 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 10692215952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371333120).

10692215952 is an abundant number, since it is smaller than the sum of its proper divisors (22050450288).

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

10692215952 is a wasteful number, since it uses less digits than its factorization.

10692215952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34453 (or 34447 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 10692215952 in words is "ten billion, six hundred ninety-two million, two hundred fifteen thousand, nine hundred fifty-two".