53959046400 has 864 divisors, whose sum is σ = 233585049600. Its totient is φ = 11927347200.

The previous prime is 53959046389. The next prime is 53959046437. The reversal of 53959046400 is 464095935.

53959046400 is a `hidden beast` number, since 53 + 9 + 590 + 4 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37496881 + ... + 37498319.

Almost surely, 2^53959046400 is an apocalyptic number.

53959046400 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 53959046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116792524800).

53959046400 is an abundant number, since it is smaller than the sum of its proper divisors (179626003200).

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

53959046400 is a wasteful number, since it uses less digits than its factorization.

53959046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 53959046400 in words is "fifty-three billion, nine hundred fifty-nine million, forty-six thousand, four hundred".