5335900416 has 432 divisors, whose sum is σ = 20203223040. Its totient is φ = 1312174080.

The previous prime is 5335900411. The next prime is 5335900429. The reversal of 5335900416 is 6140095335.

5335900416 is a `hidden beast` number, since 53 + 3 + 590 + 0 + 4 + 16 = 666.

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 (5335900411) 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, 3369961 + ... + 3371543.

It is an arithmetic number, because the mean of its divisors is an integer number (46766720).

Almost surely, 2^5335900416 is an apocalyptic number.

5335900416 is a gapful number since it is divisible by the number (56) 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 5335900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10101611520).

5335900416 is an abundant number, since it is smaller than the sum of its proper divisors (14867322624).

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

5335900416 is a wasteful number, since it uses less digits than its factorization.

5335900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5335900416 is about 73047.2478331662. The cubic root of 5335900416 is about 1747.4412036681.

The spelling of 5335900416 in words is "five billion, three hundred thirty-five million, nine hundred thousand, four hundred sixteen".