53346477600 has 432 divisors, whose sum is σ = 207539232264. Its totient is φ = 12810240000.

The previous prime is 53346477557. The next prime is 53346477607. The reversal of 53346477600 is 677464335.

53346477600 is a `hidden beast` number, since 5 + 3 + 34 + 6 + 4 + 7 + 7 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 168272784 + 53178204816 = 12972^2 + 230604^2 .

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 (53346477607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3830650 + ... + 3844550.

Almost surely, 2^53346477600 is an apocalyptic number.

53346477600 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 53346477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103769616132).

53346477600 is an abundant number, since it is smaller than the sum of its proper divisors (154192754664).

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

53346477600 is a wasteful number, since it uses less digits than its factorization.

53346477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13981 (or 13965 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 53346477600 in words is "fifty-three billion, three hundred forty-six million, four hundred seventy-seven thousand, six hundred".