1254355288560 has 960 divisors, whose sum is σ = 4991485524480. Its totient is φ = 289944023040.

The previous prime is 1254355288559. The next prime is 1254355288577. The reversal of 1254355288560 is 658825534521.

1254355288560 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 3 + 55 + 28 + 8 + 560 = 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 = 1254355288497 and 1254355288506.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 514711662 + ... + 514714098.

It is an arithmetic number, because the mean of its divisors is an integer number (5199464088).

Almost surely, 2^{1254355288560} is an apocalyptic number.

1254355288560 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 1254355288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495742762240).

1254355288560 is an abundant number, since it is smaller than the sum of its proper divisors (3737130235920).

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

1254355288560 is a wasteful number, since it uses less digits than its factorization.

1254355288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 1254355288560 in words is "one trillion, two hundred fifty-four billion, three hundred fifty-five million, two hundred eighty-eight thousand, five hundred sixty".