53025268083840 has 1024 divisors, whose sum is σ = 214879682304000. Its totient is φ = 12249736593408.

The previous prime is 53025268083803. The next prime is 53025268083863. The reversal of 53025268083840 is 4838086252035.

It is a happy number.

53025268083840 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 526 + 80 + 8 + 38 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 456635067 + ... + 456751173.

It is an arithmetic number, because the mean of its divisors is an integer number (209843439750).

Almost surely, 2^{53025268083840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53025268083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107439841152000).

53025268083840 is an abundant number, since it is smaller than the sum of its proper divisors (161854414220160).

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

53025268083840 is a wasteful number, since it uses less digits than its factorization.

53025268083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116274 (or 116256 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 53025268083840 in words is "fifty-three trillion, twenty-five billion, two hundred sixty-eight million, eighty-three thousand, eight hundred forty".