52468554297600 has 3240 divisors, whose sum is σ = 243165759395328. Its totient is φ = 11097509068800.

The previous prime is 52468554297587. The next prime is 52468554297629. The reversal of 52468554297600 is 679245586425.

52468554297600 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 8 + 554 + 2 + 9 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-3 number, since 3×52468554297600³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 18111339352 + ... + 18111342248.

Almost surely, 2^{52468554297600} is an apocalyptic number.

52468554297600 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 52468554297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121582879697664).

52468554297600 is an abundant number, since it is smaller than the sum of its proper divisors (190697205097728).

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

52468554297600 is a wasteful number, since it uses less digits than its factorization.

52468554297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 52468554297600 in words is "fifty-two trillion, four hundred sixty-eight billion, five hundred fifty-four million, two hundred ninety-seven thousand, six hundred".