5409778752 has 504 divisors, whose sum is σ = 19393570560. Its totient is φ = 1489259520.

The previous prime is 5409778739. The next prime is 5409778771. The reversal of 5409778752 is 2578779045.

It is a happy number.

5409778752 is a `hidden beast` number, since 540 + 97 + 7 + 8 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5409778752² = 58531412291181355008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23623374 + ... + 23623602.

Almost surely, 2^5409778752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5409778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696785280).

5409778752 is an abundant number, since it is smaller than the sum of its proper divisors (13983791808).

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

5409778752 is a wasteful number, since it uses less digits than its factorization.

5409778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 5409778752 is about 73551.1981683507. The cubic root of 5409778752 is about 1755.4690133723.

The spelling of 5409778752 in words is "five billion, four hundred nine million, seven hundred seventy-eight thousand, seven hundred fifty-two".