52047532454400 has 960 divisors, whose sum is σ = 218441133039360. Its totient is φ = 11890586419200.

The previous prime is 52047532454347. The next prime is 52047532454413. The reversal of 52047532454400 is 445423574025.

52047532454400 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 75 + 32 + 4 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6331042290 + ... + 6331050510.

It is an arithmetic number, because the mean of its divisors is an integer number (227542846916).

Almost surely, 2^{52047532454400} is an apocalyptic number.

52047532454400 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 52047532454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109220566519680).

52047532454400 is an abundant number, since it is smaller than the sum of its proper divisors (166393600584960).

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

52047532454400 is a wasteful number, since it uses less digits than its factorization.

52047532454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 45.

The spelling of 52047532454400 in words is "fifty-two trillion, forty-seven billion, five hundred thirty-two million, four hundred fifty-four thousand, four hundred".