10153600230340 has 192 divisors, whose sum is σ = 25542621425664. Its totient is φ = 3314919624192.

The previous prime is 10153600230313. The next prime is 10153600230343. The reversal of 10153600230340 is 4303200635101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10153600230299 and 10153600230308.

It is not an unprimeable number, because it can be changed into a prime (10153600230343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668564227 + ... + 668579413.

It is an arithmetic number, because the mean of its divisors is an integer number (133034486592).

Almost surely, 2^{10153600230340} is an apocalyptic number.

10153600230340 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 10153600230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771310712832).

10153600230340 is an abundant number, since it is smaller than the sum of its proper divisors (15389021195324).

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

10153600230340 is a wasteful number, since it uses less digits than its factorization.

10153600230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16146 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 10153600230340 its reverse (4303200635101), we get a palindrome (14456800865441).

The spelling of 10153600230340 in words is "ten trillion, one hundred fifty-three billion, six hundred million, two hundred thirty thousand, three hundred forty".