1051171468200 has 384 divisors, whose sum is σ = 4156533964800. Its totient is φ = 239188412160.

The previous prime is 1051171468187. The next prime is 1051171468253. The reversal of 1051171468200 is 28641711501.

1051171468200 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 171 + 468 + 20 + 0 = 666.

It is a super-2 number, since 2×1051171468200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8367049 + ... + 8491751.

It is an arithmetic number, because the mean of its divisors is an integer number (10824307200).

Almost surely, 2^{1051171468200} is an apocalyptic number.

1051171468200 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 1051171468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078266982400).

1051171468200 is an abundant number, since it is smaller than the sum of its proper divisors (3105362496600).

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

1051171468200 is a wasteful number, since it uses less digits than its factorization.

1051171468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124958 (or 124943 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1051171468200 in words is "one trillion, fifty-one billion, one hundred seventy-one million, four hundred sixty-eight thousand, two hundred".