53203652400 has 120 divisors (see below), whose sum is σ = 170488549840. Its totient is φ = 14182686720.

The previous prime is 53203652347. The next prime is 53203652401. The reversal of 53203652400 is 425630235.

53203652400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53203652401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4545756 + ... + 4557444.

Almost surely, 2^53203652400 is an apocalyptic number.

53203652400 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 53203652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244274920).

53203652400 is an abundant number, since it is smaller than the sum of its proper divisors (117284897440).

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

53203652400 is a wasteful number, since it uses less digits than its factorization.

53203652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15503 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 53203652400 in words is "fifty-three billion, two hundred three million, six hundred fifty-two thousand, four hundred".