53535537316800 has 2688 divisors, whose sum is σ = 249811153920000. Its totient is φ = 10831092940800.

The previous prime is 53535537316799. The next prime is 53535537316843. The reversal of 53535537316800 is 861373553535.

53535537316800 is a `hidden beast` number, since 5 + 3 + 5 + 3 + 553 + 7 + 3 + 1 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19835321851 + ... + 19835324549.

Almost surely, 2^{53535537316800} is an apocalyptic number.

53535537316800 is a gapful number since it is divisible by the number (50) 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 53535537316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124905576960000).

53535537316800 is an abundant number, since it is smaller than the sum of its proper divisors (196275616603200).

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

53535537316800 is a wasteful number, since it uses less digits than its factorization.

53535537316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 53535537316800 in words is "fifty-three trillion, five hundred thirty-five billion, five hundred thirty-seven million, three hundred sixteen thousand, eight hundred".