1264095201600 has 3360 divisors, whose sum is σ = 6256163865600. Its totient is φ = 242461900800.

The previous prime is 1264095201559. The next prime is 1264095201653. The reversal of 1264095201600 is 61025904621.

1264095201600 is a `hidden beast` number, since 1 + 2 + 6 + 40 + 9 + 5 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11186683144 + ... + 11186683256.

Almost surely, 2^{1264095201600} is an apocalyptic number.

1264095201600 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 1264095201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128081932800).

1264095201600 is an abundant number, since it is smaller than the sum of its proper divisors (4992068664000).

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

1264095201600 is a wasteful number, since it uses less digits than its factorization.

1264095201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1264095201600 in words is "one trillion, two hundred sixty-four billion, ninety-five million, two hundred one thousand, six hundred".