52132464000 has 256 divisors, whose sum is σ = 192022833600. Its totient is φ = 13901875200.

The previous prime is 52132463963. The next prime is 52132464011. The reversal of 52132464000 is 46423125.

52132464000 is a `hidden beast` number, since 5 + 2 + 13 + 2 + 4 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×52132464000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371662 + ... + 492338.

Almost surely, 2^52132464000 is an apocalyptic number.

52132464000 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 52132464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96011416800).

52132464000 is an abundant number, since it is smaller than the sum of its proper divisors (139890369600).

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

52132464000 is a wasteful number, since it uses less digits than its factorization.

52132464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120715 (or 120687 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 52132464000 its reverse (46423125), we get a palindrome (52178887125).

The spelling of 52132464000 in words is "fifty-two billion, one hundred thirty-two million, four hundred sixty-four thousand".