1263985203600 has 2160 divisors, whose sum is σ = 5710799360448. Its totient is φ = 266708090880.

The previous prime is 1263985203577. The next prime is 1263985203623. The reversal of 1263985203600 is 63025893621.

1263985203600 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 98 + 520 + 36 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1263985203577) and next prime (1263985203623).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5424829084 + ... + 5424829316.

Almost surely, 2^{1263985203600} is an apocalyptic number.

1263985203600 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 1263985203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855399680224).

1263985203600 is an abundant number, since it is smaller than the sum of its proper divisors (4446814156848).

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

1263985203600 is a wasteful number, since it uses less digits than its factorization.

1263985203600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1263985203600 in words is "one trillion, two hundred sixty-three billion, nine hundred eighty-five million, two hundred three thousand, six hundred".