53806694400 has 612 divisors, whose sum is σ = 199665697140. Its totient is φ = 13841203200.

The previous prime is 53806694353. The next prime is 53806694413. The reversal of 53806694400 is 449660835.

It can be written as a sum of positive squares in 6 ways, for example, as 16647192576 + 37159501824 = 129024^2 + 192768^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 604569556 + ... + 604569644.

Almost surely, 2^53806694400 is an apocalyptic number.

53806694400 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 53806694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99832848570).

53806694400 is an abundant number, since it is smaller than the sum of its proper divisors (145859002740).

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

53806694400 is an equidigital number, since it uses as much as digits as its factorization.

53806694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53806694400 in words is "fifty-three billion, eight hundred six million, six hundred ninety-four thousand, four hundred".