53538698304 has 840 divisors, whose sum is σ = 205623737088. Its totient is φ = 13638481920.

The previous prime is 53538698303. The next prime is 53538698309. The reversal of 53538698304 is 40389683535.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (53538698303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102368187 + ... + 102368709.

Almost surely, 2^53538698304 is an apocalyptic number.

53538698304 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 53538698304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102811868544).

53538698304 is an abundant number, since it is smaller than the sum of its proper divisors (152085038784).

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

53538698304 is a wasteful number, since it uses less digits than its factorization.

53538698304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 53538698304 in words is "fifty-three billion, five hundred thirty-eight million, six hundred ninety-eight thousand, three hundred four".