53642321600 has 168 divisors, whose sum is σ = 151431760128. Its totient is φ = 18320716800.

The previous prime is 53642321599. The next prime is 53642321609. The reversal of 53642321600 is 612324635.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53642321609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2936495 + ... + 2954705.

Almost surely, 2^53642321600 is an apocalyptic number.

53642321600 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 53642321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75715880064).

53642321600 is an abundant number, since it is smaller than the sum of its proper divisors (97789438528).

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

53642321600 is a wasteful number, since it uses less digits than its factorization.

53642321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18503 (or 18488 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 53642321600 in words is "fifty-three billion, six hundred forty-two million, three hundred twenty-one thousand, six hundred".