1260678135600 has 600 divisors, whose sum is σ = 4931350696272. Its totient is φ = 306573465600.

The previous prime is 1260678135589. The next prime is 1260678135631. The reversal of 1260678135600 is 65318760621.

1260678135600 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 6 + 7 + 8 + 1 + 35 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 34941570 + ... + 34977630.

Almost surely, 2^{1260678135600} is an apocalyptic number.

1260678135600 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 1260678135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465675348136).

1260678135600 is an abundant number, since it is smaller than the sum of its proper divisors (3670672560672).

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

1260678135600 is a wasteful number, since it uses less digits than its factorization.

1260678135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36187 (or 36167 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1260678135600 in words is "one trillion, two hundred sixty billion, six hundred seventy-eight million, one hundred thirty-five thousand, six hundred".