10355140113600 has 672 divisors, whose sum is σ = 37350214433280. Its totient is φ = 2500029480960.

The previous prime is 10355140113589. The next prime is 10355140113611. The reversal of 10355140113600 is 631104155301.

It is an interprime number because it is at equal distance from previous prime (10355140113589) and next prime (10355140113611).

It is a super-3 number, since 3×10355140113600³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4180515562 + ... + 4180518038.

It is an arithmetic number, because the mean of its divisors is an integer number (55580676240).

Almost surely, 2^{10355140113600} is an apocalyptic number.

10355140113600 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 10355140113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675107216640).

10355140113600 is an abundant number, since it is smaller than the sum of its proper divisors (26995074319680).

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

10355140113600 is a wasteful number, since it uses less digits than its factorization.

10355140113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 10355140113600 its reverse (631104155301), we get a palindrome (10986244268901).

The spelling of 10355140113600 in words is "ten trillion, three hundred fifty-five billion, one hundred forty million, one hundred thirteen thousand, six hundred".