52541190576000 has 1536 divisors, whose sum is σ = 217528942176000. Its totient is φ = 11905007616000.

The previous prime is 52541190575977. The next prime is 52541190576019. The reversal of 52541190576000 is 67509114525.

It is a happy number.

52541190576000 is a `hidden beast` number, since 5 + 25 + 4 + 1 + 19 + 0 + 5 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 81967535680 + ... + 81967536320.

Almost surely, 2^{52541190576000} is an apocalyptic number.

52541190576000 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 52541190576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108764471088000).

52541190576000 is an abundant number, since it is smaller than the sum of its proper divisors (164987751600000).

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

52541190576000 is a wasteful number, since it uses less digits than its factorization.

52541190576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 52541190576000 in words is "fifty-two trillion, five hundred forty-one billion, one hundred ninety million, five hundred seventy-six thousand".