53413948800 has 384 divisors, whose sum is σ = 203986944000. Its totient is φ = 13623920640.

The previous prime is 53413948793. The next prime is 53413948801. The reversal of 53413948800 is 884931435.

53413948800 is a `hidden beast` number, since 5 + 34 + 139 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53413948801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1973761 + ... + 2000639.

It is an arithmetic number, because the mean of its divisors is an integer number (531216000).

Almost surely, 2^53413948800 is an apocalyptic number.

53413948800 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 53413948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101993472000).

53413948800 is an abundant number, since it is smaller than the sum of its proper divisors (150572995200).

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

53413948800 is a wasteful number, since it uses less digits than its factorization.

53413948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26935 (or 26912 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 53413948800 in words is "fifty-three billion, four hundred thirteen million, nine hundred forty-eight thousand, eight hundred".