5152673542464 has 448 divisors, whose sum is σ = 17920952524800. Its totient is φ = 1420467148800.

The previous prime is 5152673542439. The next prime is 5152673542501. The reversal of 5152673542464 is 4642453762515.

It is a happy number.

5152673542464 is a `hidden beast` number, since 5 + 1 + 5 + 26 + 73 + 542 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5152673542464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5152673542464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635265769 + ... + 635273879.

Almost surely, 2^{5152673542464} is an apocalyptic number.

5152673542464 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 5152673542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960476262400).

5152673542464 is an abundant number, since it is smaller than the sum of its proper divisors (12768278982336).

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

5152673542464 is a wasteful number, since it uses less digits than its factorization.

5152673542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9963 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 5152673542464 in words is "five trillion, one hundred fifty-two billion, six hundred seventy-three million, five hundred forty-two thousand, four hundred sixty-four".