53688528000 has 1024 divisors, whose sum is σ = 215894016000. Its totient is φ = 13063680000.

The previous prime is 53688527999. The next prime is 53688528007. The reversal of 53688528000 is 82588635.

It is a happy number.

53688528000 is a `hidden beast` number, since 5 + 368 + 8 + 5 + 280 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53688528007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254447895 + ... + 254448105.

It is an arithmetic number, because the mean of its divisors is an integer number (210834000).

Almost surely, 2^53688528000 is an apocalyptic number.

53688528000 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 53688528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107947008000).

53688528000 is an abundant number, since it is smaller than the sum of its proper divisors (162205488000).

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

53688528000 is a wasteful number, since it uses less digits than its factorization.

53688528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 53688528000 in words is "fifty-three billion, six hundred eighty-eight million, five hundred twenty-eight thousand".