265384788480 has 1280 divisors, whose sum is σ = 1120042598400. Its totient is φ = 58312949760.

The previous prime is 265384788469. The next prime is 265384788511. The reversal of 265384788480 is 84887483562.

265384788480 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 8 + 478 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2025838015 + ... + 2025838145.

It is an arithmetic number, because the mean of its divisors is an integer number (875033280).

Almost surely, 2^265384788480 is an apocalyptic number.

265384788480 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 265384788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560021299200).

265384788480 is an abundant number, since it is smaller than the sum of its proper divisors (854657809920).

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

265384788480 is a wasteful number, since it uses less digits than its factorization.

265384788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 265384788480 in words is "two hundred sixty-five billion, three hundred eighty-four million, seven hundred eighty-eight thousand, four hundred eighty".