5623119640320 has 2592 divisors, whose sum is σ = 24500346151680. Its totient is φ = 1091728834560.

The previous prime is 5623119640319. The next prime is 5623119640373. The reversal of 5623119640320 is 230469113265.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24771452047 + ... + 24771452273.

It is an arithmetic number, because the mean of its divisors is an integer number (9452294040).

Almost surely, 2^{5623119640320} 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 5623119640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250173075840).

5623119640320 is an abundant number, since it is smaller than the sum of its proper divisors (18877226511360).

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

5623119640320 is a wasteful number, since it uses less digits than its factorization.

5623119640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 5623119640320 in words is "five trillion, six hundred twenty-three billion, one hundred nineteen million, six hundred forty thousand, three hundred twenty".