52546320000 has 1120 divisors, whose sum is σ = 211581475380. Its totient is φ = 12939264000.

The previous prime is 52546319951. The next prime is 52546320037. The reversal of 52546320000 is 2364525.

52546320000 is a `hidden beast` number, since 5 + 25 + 4 + 632 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 24681024 + 52521638976 = 4968^2 + 229176^2 .

It is a super-2 number, since 2×52546320000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 991439974 + ... + 991440026.

Almost surely, 2^52546320000 is an apocalyptic number.

52546320000 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 52546320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105790737690).

52546320000 is an abundant number, since it is smaller than the sum of its proper divisors (159035155380).

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

52546320000 is an frugal number, since it uses more digits than its factorization.

52546320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 52546320000 its reverse (2364525), we get a palindrome (52548684525).

The spelling of 52546320000 in words is "fifty-two billion, five hundred forty-six million, three hundred twenty thousand".