10514123440000 has 160 divisors (see below), whose sum is σ = 26325584085240. Its totient is φ = 4181333760000.

The previous prime is 10514123439983. The next prime is 10514123440013. The reversal of 10514123440000 is 4432141501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10514123440000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13460155 + ... + 14219845.

Almost surely, 2^{10514123440000} is an apocalyptic number.

10514123440000 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 10514123440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13162792042620).

10514123440000 is an abundant number, since it is smaller than the sum of its proper divisors (15811460645240).

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

10514123440000 is an frugal number, since it uses more digits than its factorization.

10514123440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759898 (or 759871 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10514123440000 its reverse (4432141501), we get a palindrome (10518555581501).

The spelling of 10514123440000 in words is "ten trillion, five hundred fourteen billion, one hundred twenty-three million, four hundred forty thousand".