52930261928448 has 640 divisors, whose sum is σ = 167439140352000. Its totient is φ = 16666816131072.

The previous prime is 52930261928407. The next prime is 52930261928569. The reversal of 52930261928448 is 84482916203925.

52930261928448 is a `hidden beast` number, since 5 + 2 + 9 + 3 + 0 + 2 + 619 + 2 + 8 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×52930261928448² (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, 7807971523 + ... + 7807978301.

It is an arithmetic number, because the mean of its divisors is an integer number (261623656800).

Almost surely, 2^{52930261928448} 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 52930261928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719570176000).

52930261928448 is an abundant number, since it is smaller than the sum of its proper divisors (114508878423552).

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

52930261928448 is an frugal number, since it uses more digits than its factorization.

52930261928448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 52930261928448 in words is "fifty-two trillion, nine hundred thirty billion, two hundred sixty-one million, nine hundred twenty-eight thousand, four hundred forty-eight".