15780406283460 has 960 divisors, whose sum is σ = 64930033631232. Its totient is φ = 3116940051456.

The previous prime is 15780406283417. The next prime is 15780406283611. The reversal of 15780406283460 is 6438260408751.

It is a happy number.

15780406283460 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 0 + 4 + 0 + 628 + 3 + 4 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15780406283397 and 15780406283406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 159311509 + ... + 159410531.

Almost surely, 2^{15780406283460} is an apocalyptic number.

15780406283460 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 15780406283460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32465016815616).

15780406283460 is an abundant number, since it is smaller than the sum of its proper divisors (49149627347772).

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

15780406283460 is a wasteful number, since it uses less digits than its factorization.

15780406283460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99134 (or 99123 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 15780406283460 in words is "fifteen trillion, seven hundred eighty billion, four hundred six million, two hundred eighty-three thousand, four hundred sixty".