5006963531520 has 1152 divisors, whose sum is σ = 19740526848000. Its totient is φ = 1195938938880.

The previous prime is 5006963531513. The next prime is 5006963531527. The reversal of 5006963531520 is 251353696005.

5006963531520 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 9 + 63 + 531 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5006963531513) and next prime (5006963531527).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006963531527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1209701611 + ... + 1209705749.

It is an arithmetic number, because the mean of its divisors is an integer number (17135874000).

Almost surely, 2^{5006963531520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006963531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870263424000).

5006963531520 is an abundant number, since it is smaller than the sum of its proper divisors (14733563316480).

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

5006963531520 is a wasteful number, since it uses less digits than its factorization.

5006963531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 5006963531520 in words is "five trillion, six billion, nine hundred sixty-three million, five hundred thirty-one thousand, five hundred twenty".