1450864255680 has 672 divisors, whose sum is σ = 5924047933440. Its totient is φ = 318882816000.

The previous prime is 1450864255667. The next prime is 1450864255697. The reversal of 1450864255680 is 865524680541.

1450864255680 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 8 + 6 + 4 + 2 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146739697 + ... + 146749583.

It is an arithmetic number, because the mean of its divisors is an integer number (8815547520).

Almost surely, 2^{1450864255680} is an apocalyptic number.

1450864255680 is a gapful number since it is divisible by the number (10) 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 1450864255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962023966720).

1450864255680 is an abundant number, since it is smaller than the sum of its proper divisors (4473183677760).

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

1450864255680 is a wasteful number, since it uses less digits than its factorization.

1450864255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 1450864255680 in words is "one trillion, four hundred fifty billion, eight hundred sixty-four million, two hundred fifty-five thousand, six hundred eighty".