455765503600 has 120 divisors (see below), whose sum is σ = 1194933662208. Its totient is φ = 165675513600.

The previous prime is 455765503561. The next prime is 455765503607. The reversal of 455765503600 is 6305567554.

It is a super-2 number, since 2×455765503600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455765503607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13918447 + ... + 13951153.

Almost surely, 2^455765503600 is an apocalyptic number.

455765503600 is a gapful number since it is divisible by the number (40) 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 455765503600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597466831104).

455765503600 is an abundant number, since it is smaller than the sum of its proper divisors (739168158608).

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

455765503600 is a wasteful number, since it uses less digits than its factorization.

455765503600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35903 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 46.

The spelling of 455765503600 in words is "four hundred fifty-five billion, seven hundred sixty-five million, five hundred three thousand, six hundred".