52132626000 has 960 divisors, whose sum is σ = 232100144640. Its totient is φ = 10892620800.

The previous prime is 52132625989. The next prime is 52132626017. The reversal of 52132626000 is 62623125.

52132626000 is a `hidden beast` number, since 5 + 2 + 1 + 32 + 626 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 506141949 + ... + 506142051.

It is an arithmetic number, because the mean of its divisors is an integer number (241770984).

Almost surely, 2^52132626000 is an apocalyptic number.

52132626000 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 52132626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116050072320).

52132626000 is an abundant number, since it is smaller than the sum of its proper divisors (179967518640).

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

52132626000 is a wasteful number, since it uses less digits than its factorization.

52132626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 52132626000 in words is "fifty-two billion, one hundred thirty-two million, six hundred twenty-six thousand".