5958374400 has 396 divisors, whose sum is σ = 23283134784. Its totient is φ = 1443840000.

The previous prime is 5958374399. The next prime is 5958374431. The reversal of 5958374400 is 44738595.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2533225 + ... + 2535575.

Almost surely, 2^5958374400 is an apocalyptic number.

5958374400 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 5958374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641567392).

5958374400 is an abundant number, since it is smaller than the sum of its proper divisors (17324760384).

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

5958374400 is a wasteful number, since it uses less digits than its factorization.

5958374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5958374400 is about 77190.5071883842. The cubic root of 5958374400 is about 1812.9086856461.

The spelling of 5958374400 in words is "five billion, nine hundred fifty-eight million, three hundred seventy-four thousand, four hundred".