52741629072000 has 576 divisors, whose sum is σ = 208192745877480. Its totient is φ = 12785845248000.

The previous prime is 52741629071987. The next prime is 52741629072019. The reversal of 52741629072000 is 27092614725.

52741629072000 is a `hidden beast` number, since 5 + 2 + 7 + 416 + 29 + 0 + 7 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2387618316864 + 50354010755136 = 1545192^2 + 7096056^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15910524 + ... + 18937476.

Almost surely, 2^{52741629072000} is an apocalyptic number.

52741629072000 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 52741629072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104096372938740).

52741629072000 is an abundant number, since it is smaller than the sum of its proper divisors (155451116805480).

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

52741629072000 is a wasteful number, since it uses less digits than its factorization.

52741629072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027010 (or 3026974 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 52741629072000 in words is "fifty-two trillion, seven hundred forty-one billion, six hundred twenty-nine million, seventy-two thousand".