455885899560 has 768 divisors, whose sum is σ = 1888032706560. Its totient is φ = 92804382720.

The previous prime is 455885899543. The next prime is 455885899561. The reversal of 455885899560 is 65998588554.

455885899560 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 8 + 58 + 9 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (455885899561) 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, 602226702 + ... + 602227458.

It is an arithmetic number, because the mean of its divisors is an integer number (2458375920).

Almost surely, 2^455885899560 is an apocalyptic number.

455885899560 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 455885899560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944016353280).

455885899560 is an abundant number, since it is smaller than the sum of its proper divisors (1432146807000).

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

455885899560 is a wasteful number, since it uses less digits than its factorization.

455885899560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 72.

The spelling of 455885899560 in words is "four hundred fifty-five billion, eight hundred eighty-five million, eight hundred ninety-nine thousand, five hundred sixty".