5872524779520 has 1008 divisors, whose sum is σ = 24559501297968. Its totient is φ = 1342179901440.

The previous prime is 5872524779509. The next prime is 5872524779531. The reversal of 5872524779520 is 259774252785.

5872524779520 is a `hidden beast` number, since 5 + 8 + 7 + 2 + 52 + 477 + 95 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5872524779509) and next prime (5872524779531).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5872524779520² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487704700 + ... + 487716740.

It is an arithmetic number, because the mean of its divisors is an integer number (24364584621).

Almost surely, 2^{5872524779520} 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 5872524779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279750648984).

5872524779520 is an abundant number, since it is smaller than the sum of its proper divisors (18686976518448).

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

5872524779520 is an equidigital number, since it uses as much as digits as its factorization.

5872524779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 5872524779520 in words is "five trillion, eight hundred seventy-two billion, five hundred twenty-four million, seven hundred seventy-nine thousand, five hundred twenty".