5114514540000 has 480 divisors, whose sum is σ = 17340113387520. Its totient is φ = 1318176000000.

The previous prime is 5114514539999. The next prime is 5114514540001. The reversal of 5114514540000 is 454154115.

It is an interprime number because it is at equal distance from previous prime (5114514539999) and next prime (5114514540001).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5114514540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114514540001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2140858806 + ... + 2140861194.

It is an arithmetic number, because the mean of its divisors is an integer number (36125236224).

Almost surely, 2^{5114514540000} is an apocalyptic number.

5114514540000 is a gapful number since it is divisible by the number (50) 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 5114514540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670056693760).

5114514540000 is an abundant number, since it is smaller than the sum of its proper divisors (12225598847520).

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

5114514540000 is a wasteful number, since it uses less digits than its factorization.

5114514540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 5114514540000 its reverse (454154115), we get a palindrome (5114968694115).

The spelling of 5114514540000 in words is "five trillion, one hundred fourteen billion, five hundred fourteen million, five hundred forty thousand".