1151645875200 has 396 divisors, whose sum is σ = 4340476567960. Its totient is φ = 290941009920.

The previous prime is 1151645875157. The next prime is 1151645875243. The reversal of 1151645875200 is 25785461511.

1151645875200 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 6 + 45 + 87 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1151645875157) and next prime (1151645875243).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4246062 + ... + 4509138.

Almost surely, 2^{1151645875200} is an apocalyptic number.

1151645875200 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 1151645875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170238283980).

1151645875200 is an abundant number, since it is smaller than the sum of its proper divisors (3188830692760).

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

1151645875200 is a wasteful number, since it uses less digits than its factorization.

1151645875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263132 (or 263106 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1151645875200 in words is "one trillion, one hundred fifty-one billion, six hundred forty-five million, eight hundred seventy-five thousand, two hundred".