5154435216 has 320 divisors, whose sum is σ = 17917900800. Its totient is φ = 1385869824.

The previous prime is 5154435211. The next prime is 5154435227. The reversal of 5154435216 is 6125344515.

5154435216 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 435 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5154435211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16259890 + ... + 16260206.

It is an arithmetic number, because the mean of its divisors is an integer number (55993440).

Almost surely, 2^5154435216 is an apocalyptic number.

5154435216 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 5154435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958950400).

5154435216 is an abundant number, since it is smaller than the sum of its proper divisors (12763465584).

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

5154435216 is a wasteful number, since it uses less digits than its factorization.

5154435216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5154435216 is about 71794.3954358556. The cubic root of 5154435216 is about 1727.4031020952.

It can be divided in two parts, 515 and 4435216, that added together give a triangular number (4435731 = T₂₉₇₈).

The spelling of 5154435216 in words is "five billion, one hundred fifty-four million, four hundred thirty-five thousand, two hundred sixteen".