10452435486480 has 640 divisors, whose sum is σ = 39422641789440. Its totient is φ = 2529964523520.

The previous prime is 10452435486473. The next prime is 10452435486547. The reversal of 10452435486480 is 8468453425401.

10452435486480 is a `hidden beast` number, since 1 + 0 + 4 + 52 + 4 + 3 + 548 + 6 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 690788515 + ... + 690803645.

It is an arithmetic number, because the mean of its divisors is an integer number (61597877796).

Almost surely, 2^{10452435486480} is an apocalyptic number.

10452435486480 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 10452435486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711320894720).

10452435486480 is an abundant number, since it is smaller than the sum of its proper divisors (28970206302960).

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

10452435486480 is a wasteful number, since it uses less digits than its factorization.

10452435486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15576 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 10452435486480 in words is "ten trillion, four hundred fifty-two billion, four hundred thirty-five million, four hundred eighty-six thousand, four hundred eighty".