52264212124608 has 672 divisors, whose sum is σ = 177083820006912. Its totient is φ = 14576976691200.

The previous prime is 52264212124601. The next prime is 52264212124637. The reversal of 52264212124608 is 80642121246225.

52264212124608 is a `hidden beast` number, since 5 + 2 + 2 + 6 + 4 + 2 + 12 + 1 + 24 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52264212124601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436103991 + ... + 436223817.

It is an arithmetic number, because the mean of its divisors is an integer number (263517589296).

Almost surely, 2^{52264212124608} 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 52264212124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88541910003456).

52264212124608 is an abundant number, since it is smaller than the sum of its proper divisors (124819607882304).

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

52264212124608 is a wasteful number, since it uses less digits than its factorization.

52264212124608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119993 (or 119980 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 52264212124608 in words is "fifty-two trillion, two hundred sixty-four billion, two hundred twelve million, one hundred twenty-four thousand, six hundred eight".