53253234500400 has 360 divisors, whose sum is σ = 202153220365824. Its totient is φ = 12874694745600.

The previous prime is 53253234500399. The next prime is 53253234500471. The reversal of 53253234500400 is 400543235235.

53253234500400 is a `hidden beast` number, since 5 + 3 + 2 + 532 + 34 + 50 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12701077 + ... + 16365323.

Almost surely, 2^{53253234500400} is an apocalyptic number.

53253234500400 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 53253234500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101076610182912).

53253234500400 is an abundant number, since it is smaller than the sum of its proper divisors (148899985865424).

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

53253234500400 is a wasteful number, since it uses less digits than its factorization.

53253234500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664649 (or 3664635 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 53253234500400 its reverse (400543235235), we get a palindrome (53653777735635).

The spelling of 53253234500400 in words is "fifty-three trillion, two hundred fifty-three billion, two hundred thirty-four million, five hundred thousand, four hundred".