455754055680 has 1360 divisors, whose sum is σ = 2046267869184. Its totient is φ = 94277468160.

The previous prime is 455754055663. The next prime is 455754055681. The reversal of 455754055680 is 86550457554.

455754055680 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 5 + 4 + 0 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455754055681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2043740049 + ... + 2043740271.

Almost surely, 2^455754055680 is an apocalyptic number.

455754055680 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 455754055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023133934592).

455754055680 is an abundant number, since it is smaller than the sum of its proper divisors (1590513813504).

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

455754055680 is an equidigital number, since it uses as much as digits as its factorization.

455754055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 54.

The spelling of 455754055680 in words is "four hundred fifty-five billion, seven hundred fifty-four million, fifty-five thousand, six hundred eighty".