10692765782160 has 960 divisors, whose sum is σ = 45167198828544. Its totient is φ = 2061691699200.

The previous prime is 10692765782131. The next prime is 10692765782203. The reversal of 10692765782160 is 6128756729601.

It is a happy number.

It is a super-2 number, since 2×10692765782160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10692765782094 and 10692765782103.

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, 156103279 + ... + 156171761.

Almost surely, 2^{10692765782160} is an apocalyptic number.

10692765782160 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 10692765782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22583599414272).

10692765782160 is an abundant number, since it is smaller than the sum of its proper divisors (34474433046384).

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

10692765782160 is a wasteful number, since it uses less digits than its factorization.

10692765782160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68612 (or 68599 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 10692765782160 in words is "ten trillion, six hundred ninety-two billion, seven hundred sixty-five million, seven hundred eighty-two thousand, one hundred sixty".