52668461274240 has 512 divisors, whose sum is σ = 202948208640000. Its totient is φ = 11357346299904.

The previous prime is 52668461274199. The next prime is 52668461274277. The reversal of 52668461274240 is 4247216486625.

It is a super-2 number, since 2×52668461274240² (a number of 28 digits) contains 22 as substring.

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, 21398761 + ... + 23732759.

It is an arithmetic number, because the mean of its divisors is an integer number (396383220000).

Almost surely, 2^{52668461274240} 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 52668461274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101474104320000).

52668461274240 is an abundant number, since it is smaller than the sum of its proper divisors (150279747365760).

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

52668461274240 is a wasteful number, since it uses less digits than its factorization.

52668461274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334124 (or 2334112 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 52668461274240 in words is "fifty-two trillion, six hundred sixty-eight billion, four hundred sixty-one million, two hundred seventy-four thousand, two hundred forty".