53821589606400 has 1248 divisors, whose sum is σ = 234909865663488. Its totient is φ = 10525763174400.

The previous prime is 53821589606357. The next prime is 53821589606423. The reversal of 53821589606400 is 460698512835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402057879 + ... + 402191721.

Almost surely, 2^{53821589606400} is an apocalyptic number.

53821589606400 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 53821589606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117454932831744).

53821589606400 is an abundant number, since it is smaller than the sum of its proper divisors (181088276057088).

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

53821589606400 is a wasteful number, since it uses less digits than its factorization.

53821589606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133915 (or 133888 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 53821589606400 in words is "fifty-three trillion, eight hundred twenty-one billion, five hundred eighty-nine million, six hundred six thousand, four hundred".