265413012480 has 2112 divisors, whose sum is σ = 1255664517120. Its totient is φ = 50164531200.

The previous prime is 265413012479. The next prime is 265413012481. The reversal of 265413012480 is 84210314562.

It is a happy number.

265413012480 is a `hidden beast` number, since 2 + 6 + 541 + 30 + 1 + 2 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (265413012479) and next prime (265413012481).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (265413012481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2089866177 + ... + 2089866303.

Almost surely, 2^265413012480 is an apocalyptic number.

265413012480 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 265413012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627832258560).

265413012480 is an abundant number, since it is smaller than the sum of its proper divisors (990251504640).

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

265413012480 is a wasteful number, since it uses less digits than its factorization.

265413012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 265413012480 in words is "two hundred sixty-five billion, four hundred thirteen million, twelve thousand, four hundred eighty".