5145592967424 has 2880 divisors, whose sum is σ = 21190720320000. Its totient is φ = 1229031014400.

The previous prime is 5145592967423. The next prime is 5145592967461. The reversal of 5145592967424 is 4247692955415.

It is a happy number.

5145592967424 is a `hidden beast` number, since 5 + 1 + 4 + 559 + 2 + 9 + 6 + 74 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5145592967423) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 50946464974 + ... + 50946465074.

It is an arithmetic number, because the mean of its divisors is an integer number (7357889000).

Almost surely, 2^{5145592967424} is an apocalyptic number.

5145592967424 is a gapful number since it is divisible by the number (54) 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 5145592967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10595360160000).

5145592967424 is an abundant number, since it is smaller than the sum of its proper divisors (16045127352576).

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

5145592967424 is a wasteful number, since it uses less digits than its factorization.

5145592967424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 5145592967424 in words is "five trillion, one hundred forty-five billion, five hundred ninety-two million, nine hundred sixty-seven thousand, four hundred twenty-four".