1060827563200 has 336 divisors, whose sum is σ = 2779149087360. Its totient is φ = 397895680000.

The previous prime is 1060827563197. The next prime is 1060827563203. The reversal of 1060827563200 is 23657280601.

It is an interprime number because it is at equal distance from previous prime (1060827563197) and next prime (1060827563203).

It is a super-2 number, since 2×1060827563200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1060827563203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248377065 + ... + 248381335.

Almost surely, 2^{1060827563200} is an apocalyptic number.

1060827563200 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 1060827563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389574543680).

1060827563200 is an abundant number, since it is smaller than the sum of its proper divisors (1718321524160).

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

1060827563200 is a wasteful number, since it uses less digits than its factorization.

1060827563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1060827563200 in words is "one trillion, sixty billion, eight hundred twenty-seven million, five hundred sixty-three thousand, two hundred".