53123385600 has 864 divisors, whose sum is σ = 206333460480. Its totient is φ = 13353984000.

The previous prime is 53123385587. The next prime is 53123385611. The reversal of 53123385600 is 658332135.

53123385600 is a `hidden beast` number, since 5 + 3 + 12 + 3 + 38 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251769495 + ... + 251769705.

Almost surely, 2^53123385600 is an apocalyptic number.

53123385600 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 53123385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103166730240).

53123385600 is an abundant number, since it is smaller than the sum of its proper divisors (153210074880).

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

53123385600 is a wasteful number, since it uses less digits than its factorization.

53123385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 53123385600 in words is "fifty-three billion, one hundred twenty-three million, three hundred eighty-five thousand, six hundred".