1060004291200 has 384 divisors, whose sum is σ = 2861753554800. Its totient is φ = 386374041600.

The previous prime is 1060004291111. The next prime is 1060004291221. The reversal of 1060004291200 is 21924000601.

1060004291200 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 24 ways, for example, as 280993287744 + 779011003456 = 530088^2 + 882616^2 .

It is a super-2 number, since 2×1060004291200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305563066 + ... + 305566534.

Almost surely, 2^{1060004291200} is an apocalyptic number.

1060004291200 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 1060004291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430876777400).

1060004291200 is an abundant number, since it is smaller than the sum of its proper divisors (1801749263600).

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

1060004291200 is a wasteful number, since it uses less digits than its factorization.

1060004291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1060004291200 its reverse (21924000601), we get a palindrome (1081928291801).

The spelling of 1060004291200 in words is "one trillion, sixty billion, four million, two hundred ninety-one thousand, two hundred".