1265616424800 has 576 divisors, whose sum is σ = 5633624424960. Its totient is φ = 267030743040.

The previous prime is 1265616424789. The next prime is 1265616424837. The reversal of 1265616424800 is 84246165621.

It is a happy number.

1265616424800 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 6 + 164 + 2 + 480 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1643659 + ... + 2287541.

It is an arithmetic number, because the mean of its divisors is an integer number (9780597960).

Almost surely, 2^{1265616424800} is an apocalyptic number.

1265616424800 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 1265616424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816812212480).

1265616424800 is an abundant number, since it is smaller than the sum of its proper divisors (4368008000160).

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

1265616424800 is a wasteful number, since it uses less digits than its factorization.

1265616424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643932 (or 643913 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1265616424800 in words is "one trillion, two hundred sixty-five billion, six hundred sixteen million, four hundred twenty-four thousand, eight hundred".