1260852633600 has 1344 divisors, whose sum is σ = 5044600934400. Its totient is φ = 277453209600.

The previous prime is 1260852633589. The next prime is 1260852633617. The reversal of 1260852633600 is 63362580621.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6532915104 + ... + 6532915296.

Almost surely, 2^{1260852633600} is an apocalyptic number.

1260852633600 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 1260852633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522300467200).

1260852633600 is an abundant number, since it is smaller than the sum of its proper divisors (3783748300800).

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

1260852633600 is an equidigital number, since it uses as much as digits as its factorization.

1260852633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1260852633600 in words is "one trillion, two hundred sixty billion, eight hundred fifty-two million, six hundred thirty-three thousand, six hundred".