10036514400000 has 2592 divisors, whose sum is σ = 41284880098560. Its totient is φ = 2149171200000.

The previous prime is 10036514399987. The next prime is 10036514400001. The reversal of 10036514400000 is 441563001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10036514400001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93799199947 + ... + 93799200053.

It is an arithmetic number, because the mean of its divisors is an integer number (15927808680).

Almost surely, 2^{10036514400000} is an apocalyptic number.

10036514400000 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 10036514400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642440049280).

10036514400000 is an abundant number, since it is smaller than the sum of its proper divisors (31248365698560).

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

10036514400000 is a wasteful number, since it uses less digits than its factorization.

10036514400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10036514400000 its reverse (441563001), we get a palindrome (10036955963001).

The spelling of 10036514400000 in words is "ten trillion, thirty-six billion, five hundred fourteen million, four hundred thousand".