52289530470144 has 576 divisors, whose sum is σ = 181699028582400. Its totient is φ = 14667454771200.

The previous prime is 52289530470137. The next prime is 52289530470173. The reversal of 52289530470144 is 44107403598225.

It is a happy number.

52289530470144 is a `hidden beast` number, since 5 + 2 + 2 + 89 + 53 + 0 + 470 + 1 + 44 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53728537 + ... + 54693095.

It is an arithmetic number, because the mean of its divisors is an integer number (315449702400).

Almost surely, 2^{52289530470144} is an apocalyptic number.

52289530470144 is a gapful number since it is divisible by the number (54) 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 52289530470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90849514291200).

52289530470144 is an abundant number, since it is smaller than the sum of its proper divisors (129409498112256).

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

52289530470144 is a wasteful number, since it uses less digits than its factorization.

52289530470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964649 (or 964629 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 52289530470144 in words is "fifty-two trillion, two hundred eighty-nine billion, five hundred thirty million, four hundred seventy thousand, one hundred forty-four".