265225578240 has 1152 divisors, whose sum is σ = 1082402979840. Its totient is φ = 53954740224.

The previous prime is 265225578193. The next prime is 265225578257. The reversal of 265225578240 is 42875522562.

265225578240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×265225578240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 265225578240.

It is a congruent number.

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, 787019352 + ... + 787019688.

It is an arithmetic number, because the mean of its divisors is an integer number (939585920).

Almost surely, 2^265225578240 is an apocalyptic number.

265225578240 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 265225578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541201489920).

265225578240 is an abundant number, since it is smaller than the sum of its proper divisors (817177401600).

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

265225578240 is a wasteful number, since it uses less digits than its factorization.

265225578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 265225578240 in words is "two hundred sixty-five billion, two hundred twenty-five million, five hundred seventy-eight thousand, two hundred forty".