5623025760 has 288 divisors, whose sum is σ = 21656587680. Its totient is φ = 1316044800.

The previous prime is 5623025687. The next prime is 5623025761. The reversal of 5623025760 is 675203265.

It is a happy number.

5623025760 is a `hidden beast` number, since 5 + 623 + 0 + 25 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5623025760³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5623025761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453240 + ... + 465480.

It is an arithmetic number, because the mean of its divisors is an integer number (75196485).

Almost surely, 2^5623025760 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 5623025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828293840).

5623025760 is an abundant number, since it is smaller than the sum of its proper divisors (16033561920).

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

5623025760 is a wasteful number, since it uses less digits than its factorization.

5623025760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5623025760 is about 74986.8372449459. The cubic root of 5623025760 is about 1778.2385638677.

The spelling of 5623025760 in words is "five billion, six hundred twenty-three million, twenty-five thousand, seven hundred sixty".