53880195600 has 1440 divisors, whose sum is σ = 253067802624. Its totient is φ = 10674892800.

The previous prime is 53880195569. The next prime is 53880195601. The reversal of 53880195600 is 659108835.

53880195600 is a `hidden beast` number, since 5 + 3 + 8 + 80 + 1 + 9 + 560 + 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 (53880195601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172141044 + ... + 172141356.

Almost surely, 2^53880195600 is an apocalyptic number.

53880195600 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 53880195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126533901312).

53880195600 is an abundant number, since it is smaller than the sum of its proper divisors (199187607024).

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

53880195600 is a wasteful number, since it uses less digits than its factorization.

53880195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 53880195600 in words is "fifty-three billion, eight hundred eighty million, one hundred ninety-five thousand, six hundred".