53254713600 has 972 divisors, whose sum is σ = 217798035728. Its totient is φ = 12864614400.

The previous prime is 53254713593. The next prime is 53254713607. The reversal of 53254713600 is 631745235.

53254713600 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 47 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (53254713593) and next prime (53254713607).

It is a tau number, because it is divible by the number of its divisors (972).

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

It is not an unprimeable number, because it can be changed into a prime (53254713607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 188179059 + ... + 188179341.

Almost surely, 2^53254713600 is an apocalyptic number.

53254713600 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 53254713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108899017864).

53254713600 is an abundant number, since it is smaller than the sum of its proper divisors (164543322128).

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

53254713600 is a wasteful number, since it uses less digits than its factorization.

53254713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 53254713600 in words is "fifty-three billion, two hundred fifty-four million, seven hundred thirteen thousand, six hundred".