10871279251200 has 162 divisors, whose sum is σ = 38867277116304. Its totient is φ = 2899007784960.

The previous prime is 10871279251127. The next prime is 10871279251201. The reversal of 10871279251200 is 215297217801.

10871279251200 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 127 + 9 + 2 + 512 + 0 + 0 = 666.

10871279251200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10871279251201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94311144 + ... + 94426343.

Almost surely, 2^{10871279251200} is an apocalyptic number.

10871279251200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10871279251200 is an abundant number, since it is smaller than the sum of its proper divisors (27995997865104).

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

10871279251200 is a wasteful number, since it uses less digits than its factorization.

10871279251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188737519 (or 188737497 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 10871279251200 in words is "ten trillion, eight hundred seventy-one billion, two hundred seventy-nine million, two hundred fifty-one thousand, two hundred".