5623150400 has 336 divisors, whose sum is σ = 16762927104. Its totient is φ = 1814968320.

The previous prime is 5623150343. The next prime is 5623150417. The reversal of 5623150400 is 40513265.

It is a super-3 number, since 3×5623150400³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5623150400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21380669 + ... + 21380931.

It is an arithmetic number, because the mean of its divisors is an integer number (49889664).

Almost surely, 2^5623150400 is an apocalyptic number.

5623150400 is a gapful number since it is divisible by the number (50) 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 5623150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381463552).

5623150400 is an abundant number, since it is smaller than the sum of its proper divisors (11139776704).

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

5623150400 is a wasteful number, since it uses less digits than its factorization.

5623150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5623150400 is about 74987.6683195310. The cubic root of 5623150400 is about 1778.2517025838.

Adding to 5623150400 its reverse (40513265), we get a palindrome (5663663665).

The spelling of 5623150400 in words is "five billion, six hundred twenty-three million, one hundred fifty thousand, four hundred".