1168025263200 has 216 divisors, whose sum is σ = 4141763425800. Its totient is φ = 309732986880.

The previous prime is 1168025263187. The next prime is 1168025263247. The reversal of 1168025263200 is 23625208611.

1168025263200 is a `hidden beast` number, since 1 + 1 + 6 + 80 + 252 + 6 + 320 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 835656 + ... + 1741944.

It is an arithmetic number, because the mean of its divisors is an integer number (19174830675).

Almost surely, 2^{1168025263200} is an apocalyptic number.

1168025263200 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 1168025263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070881712900).

1168025263200 is an abundant number, since it is smaller than the sum of its proper divisors (2973738162600).

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

1168025263200 is a wasteful number, since it uses less digits than its factorization.

1168025263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906494 (or 906478 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1168025263200 in words is "one trillion, one hundred sixty-eight billion, twenty-five million, two hundred sixty-three thousand, two hundred".