455362560000 has 1050 divisors, whose sum is σ = 1734201535682. Its totient is φ = 119439360000.

The previous prime is 455362559999. The next prime is 455362560017. The reversal of 455362560000 is 65263554.

It is a happy number.

455362560000 is a `hidden beast` number, since 45 + 5 + 3 + 6 + 2 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 313456656384 + 141905903616 = 559872^2 + 376704^2 .

It is a super-2 number, since 2×455362560000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 7464959970 + ... + 7464960030.

Almost surely, 2^455362560000 is an apocalyptic number.

455362560000 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 455362560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867100767841).

455362560000 is an abundant number, since it is smaller than the sum of its proper divisors (1278838975682).

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

455362560000 is an frugal number, since it uses more digits than its factorization.

455362560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 455362560000 in words is "four hundred fifty-five billion, three hundred sixty-two million, five hundred sixty thousand".