265005657420 has 384 divisors, whose sum is σ = 917329674240. Its totient is φ = 55807211520.

The previous prime is 265005657403. The next prime is 265005657431. The reversal of 265005657420 is 24756500562.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 120073957 + ... + 120076163.

It is an arithmetic number, because the mean of its divisors is an integer number (2388879360).

Almost surely, 2^265005657420 is an apocalyptic number.

265005657420 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 265005657420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458664837120).

265005657420 is an abundant number, since it is smaller than the sum of its proper divisors (652324016820).

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

265005657420 is a wasteful number, since it uses less digits than its factorization.

265005657420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 265005657420 in words is "two hundred sixty-five billion, five million, six hundred fifty-seven thousand, four hundred twenty".