53064460800 has 1200 divisors, whose sum is σ = 220044582912. Its totient is φ = 12541132800.

The previous prime is 53064460793. The next prime is 53064460817. The reversal of 53064460800 is 806446035.

53064460800 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 44 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 417830337 + ... + 417830463.

Almost surely, 2^53064460800 is an apocalyptic number.

53064460800 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 53064460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110022291456).

53064460800 is an abundant number, since it is smaller than the sum of its proper divisors (166980122112).

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

53064460800 is a wasteful number, since it uses less digits than its factorization.

53064460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53064460800 in words is "fifty-three billion, sixty-four million, four hundred sixty thousand, eight hundred".