1051165180800 has 1152 divisors, whose sum is σ = 4668326208000. Its totient is φ = 219748515840.

The previous prime is 1051165180621. The next prime is 1051165180801. The reversal of 1051165180800 is 80815611501.

1051165180800 is a `hidden beast` number, since 1 + 0 + 51 + 16 + 518 + 0 + 80 + 0 = 666.

1051165180800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1051165180800² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051165180801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111076869 + ... + 111086331.

It is an arithmetic number, because the mean of its divisors is an integer number (4052366500).

Almost surely, 2^{1051165180800} is an apocalyptic number.

1051165180800 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 1051165180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334163104000).

1051165180800 is an abundant number, since it is smaller than the sum of its proper divisors (3617161027200).

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

1051165180800 is a wasteful number, since it uses less digits than its factorization.

1051165180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 1051165180800 in words is "one trillion, fifty-one billion, one hundred sixty-five million, one hundred eighty thousand, eight hundred".