53406314273400 has 384 divisors, whose sum is σ = 188796601958400. Its totient is φ = 12370737600000.

The previous prime is 53406314273399. The next prime is 53406314273407. The reversal of 53406314273400 is 437241360435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53406314273407) 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 95 ways as a sum of consecutive naturals, for example, 14511325 + ... + 17815475.

It is an arithmetic number, because the mean of its divisors is an integer number (491657817600).

Almost surely, 2^{53406314273400} is an apocalyptic number.

53406314273400 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 53406314273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94398300979200).

53406314273400 is an abundant number, since it is smaller than the sum of its proper divisors (135390287685000).

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

53406314273400 is a wasteful number, since it uses less digits than its factorization.

53406314273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304291 (or 3304282 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 53406314273400 in words is "fifty-three trillion, four hundred six billion, three hundred fourteen million, two hundred seventy-three thousand, four hundred".