52828552218240 has 512 divisors, whose sum is σ = 187504569792000. Its totient is φ = 14057278341120.

The previous prime is 52828552218203. The next prime is 52828552218257. The reversal of 52828552218240 is 4281225582825.

52828552218240 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 8 + 552 + 2 + 1 + 82 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28852294125 + ... + 28852295955.

It is an arithmetic number, because the mean of its divisors is an integer number (366219862875).

Almost surely, 2^{52828552218240} 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 52828552218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93752284896000).

52828552218240 is an abundant number, since it is smaller than the sum of its proper divisors (134676017573760).

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

52828552218240 is a wasteful number, since it uses less digits than its factorization.

52828552218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 54.

The spelling of 52828552218240 in words is "fifty-two trillion, eight hundred twenty-eight billion, five hundred fifty-two million, two hundred eighteen thousand, two hundred forty".