5353979904 has 720 divisors, whose sum is σ = 20918452800. Its totient is φ = 1337720832.

The previous prime is 5353979903. The next prime is 5353979921. The reversal of 5353979904 is 4099793535.

It is a happy number.

5353979904 is a `hidden beast` number, since 535 + 39 + 79 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5353979903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281788407 + ... + 281788425.

Almost surely, 2^5353979904 is an apocalyptic number.

5353979904 is a gapful number since it is divisible by the number (54) 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 5353979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459226400).

5353979904 is an abundant number, since it is smaller than the sum of its proper divisors (15564472896).

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

5353979904 is a wasteful number, since it uses less digits than its factorization.

5353979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The square root of 5353979904 is about 73170.8951974759. The cubic root of 5353979904 is about 1749.4125815113.

The spelling of 5353979904 in words is "five billion, three hundred fifty-three million, nine hundred seventy-nine thousand, nine hundred four".