1060260800400 has 180 divisors, whose sum is σ = 3680926526160. Its totient is φ = 282618873600.

The previous prime is 1060260800371. The next prime is 1060260800407. The reversal of 1060260800400 is 40080620601.

1060260800400 is a `hidden beast` number, since 10 + 6 + 0 + 2 + 608 + 0 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1060260800400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1060260800407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8792515 + ... + 8912285.

It is an arithmetic number, because the mean of its divisors is an integer number (20449591812).

Almost surely, 2^{1060260800400} is an apocalyptic number.

1060260800400 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 1060260800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840463263080).

1060260800400 is an abundant number, since it is smaller than the sum of its proper divisors (2620665725760).

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

1060260800400 is a wasteful number, since it uses less digits than its factorization.

1060260800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122254 (or 122240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1060260800400 in words is "one trillion, sixty billion, two hundred sixty million, eight hundred thousand, four hundred".