264158441153280 has 1440 divisors, whose sum is σ = 993084766248960. Its totient is φ = 66918184058880.

The previous prime is 264158441153221. The next prime is 264158441153309. The reversal of 264158441153280 is 82351144851462.

264158441153280 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 58 + 44 + 11 + 532 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 320970158949 + ... + 320970159771.

It is an arithmetic number, because the mean of its divisors is an integer number (689642198784).

Almost surely, 2^{264158441153280} is an apocalyptic number.

264158441153280 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 264158441153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496542383124480).

264158441153280 is an abundant number, since it is smaller than the sum of its proper divisors (728926325095680).

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

264158441153280 is a wasteful number, since it uses less digits than its factorization.

264158441153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 264158441153280 in words is "two hundred sixty-four trillion, one hundred fifty-eight billion, four hundred forty-one million, one hundred fifty-three thousand, two hundred eighty".