52466211388800 has 1440 divisors, whose sum is σ = 222068827466640. Its totient is φ = 12165910732800.

The previous prime is 52466211388771. The next prime is 52466211388831. The reversal of 52466211388800 is 888311266425.

52466211388800 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 621 + 1 + 3 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 721317234 + ... + 721389966.

Almost surely, 2^{52466211388800} is an apocalyptic number.

52466211388800 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 52466211388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111034413733320).

52466211388800 is an abundant number, since it is smaller than the sum of its proper divisors (169602616077840).

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

52466211388800 is a wasteful number, since it uses less digits than its factorization.

52466211388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72814 (or 72777 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 52466211388800 in words is "fifty-two trillion, four hundred sixty-six billion, two hundred eleven million, three hundred eighty-eight thousand, eight hundred".