53105126400 has 396 divisors, whose sum is σ = 192501632232. Its totient is φ = 13985710080.

The previous prime is 53105126359. The next prime is 53105126411. The reversal of 53105126400 is 462150135.

53105126400 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 5 + 12 + 640 + 0 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 19121812 + ... + 19124588.

Almost surely, 2^53105126400 is an apocalyptic number.

53105126400 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 53105126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96250816116).

53105126400 is an abundant number, since it is smaller than the sum of its proper divisors (139396505832).

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

53105126400 is a wasteful number, since it uses less digits than its factorization.

53105126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 53105126400 its reverse (462150135), we get a palindrome (53567276535).

The spelling of 53105126400 in words is "fifty-three billion, one hundred five million, one hundred twenty-six thousand, four hundred".