5902016400 has 600 divisors, whose sum is σ = 24714828864. Its totient is φ = 1320883200.

The previous prime is 5902016371. The next prime is 5902016441. The reversal of 5902016400 is 46102095.

5902016400 is a `hidden beast` number, since 59 + 0 + 201 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12020155 + ... + 12020645.

Almost surely, 2^5902016400 is an apocalyptic number.

5902016400 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 5902016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357414432).

5902016400 is an abundant number, since it is smaller than the sum of its proper divisors (18812812464).

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

5902016400 is a wasteful number, since it uses less digits than its factorization.

5902016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5902016400 is about 76824.5820034187. The cubic root of 5902016400 is about 1807.1746974019.

Adding to 5902016400 its reverse (46102095), we get a palindrome (5948118495).

The spelling of 5902016400 in words is "five billion, nine hundred two million, sixteen thousand, four hundred".