264971486052000 has 3456 divisors, whose sum is σ = 1245862423443456. Its totient is φ = 52777267200000.

The previous prime is 264971486051977. The next prime is 264971486052001. The reversal of 264971486052000 is 250684179462.

264971486052000 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 7 + 1 + 4 + 8 + 605 + 20 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (264971486052001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29146567455 + ... + 29146576545.

It is an arithmetic number, because the mean of its divisors is an integer number (360492599376).

Almost surely, 2^{264971486052000} is an apocalyptic number.

264971486052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264971486052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622931211721728).

264971486052000 is an abundant number, since it is smaller than the sum of its proper divisors (980890937391456).

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

264971486052000 is a wasteful number, since it uses less digits than its factorization.

264971486052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 264971486052000 in words is "two hundred sixty-four trillion, nine hundred seventy-one billion, four hundred eighty-six million, fifty-two thousand".