52420348800 has 672 divisors, whose sum is σ = 202801952880. Its totient is φ = 13357301760.

The previous prime is 52420348781. The next prime is 52420348807. The reversal of 52420348800 is 884302425.

52420348800 is a `hidden beast` number, since 524 + 20 + 34 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×52420348800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52420348807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 53653912 + ... + 53654888.

Almost surely, 2^52420348800 is an apocalyptic number.

52420348800 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 52420348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101400976440).

52420348800 is an abundant number, since it is smaller than the sum of its proper divisors (150381604080).

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

52420348800 is an equidigital number, since it uses as much as digits as its factorization.

52420348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 52420348800 in words is "fifty-two billion, four hundred twenty million, three hundred forty-eight thousand, eight hundred".