1060982401600 has 189 divisors, whose sum is σ = 2870816537883. Its totient is φ = 385646976000.

The previous prime is 1060982401561. The next prime is 1060982401621. The reversal of 1060982401600 is 61042890601.

It is a happy number.

The square root of 1060982401600 is 1030040.

It is a perfect power (a square), and thus also a powerful number.

1060982401600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181279296 + 1060801122304 = 13464^2 + 1029952^2 .

It is a super-2 number, since 2×1060982401600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1060982401600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 453216430 + ... + 453218770.

Almost surely, 2^{1060982401600} is an apocalyptic number.

1060982401600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1060982401600 is the 1030040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060982401600

1060982401600 is an abundant number, since it is smaller than the sum of its proper divisors (1809834136283).

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

1060982401600 is an frugal number, since it uses more digits than its factorization.

1060982401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 1060982401600 in words is "one trillion, sixty billion, nine hundred eighty-two million, four hundred one thousand, six hundred".