264280008960000 has 4800 divisors, whose sum is σ = 1169563639083840. Its totient is φ = 58711080960000.

The previous prime is 264280008959999. The next prime is 264280008960053. The reversal of 264280008960000 is 69800082462.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 833690879842 + ... + 833690880158.

Almost surely, 2^{264280008960000} is an apocalyptic number.

264280008960000 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 264280008960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584781819541920).

264280008960000 is an abundant number, since it is smaller than the sum of its proper divisors (905283630123840).

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

264280008960000 is a wasteful number, since it uses less digits than its factorization.

264280008960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 264280008960000 in words is "two hundred sixty-four trillion, two hundred eighty billion, eight million, nine hundred sixty thousand".