1073172886560 has 288 divisors, whose sum is σ = 3829269644928. Its totient is φ = 273175203840.

The previous prime is 1073172886553. The next prime is 1073172886567. The reversal of 1073172886560 is 656882713701.

It is a happy number.

1073172886560 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 1 + 72 + 8 + 8 + 6 + 560 = 666.

1073172886560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1073172886553) and next prime (1073172886567).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1073172886497 and 1073172886506.

It is not an unprimeable number, because it can be changed into a prime (1073172886567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16228924 + ... + 16294916.

It is an arithmetic number, because the mean of its divisors is an integer number (13296075156).

Almost surely, 2^{1073172886560} is an apocalyptic number.

1073172886560 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 1073172886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914634822464).

1073172886560 is an abundant number, since it is smaller than the sum of its proper divisors (2756096758368).

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

1073172886560 is a wasteful number, since it uses less digits than its factorization.

1073172886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66528 (or 66517 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1073172886560 in words is "one trillion, seventy-three billion, one hundred seventy-two million, eight hundred eighty-six thousand, five hundred sixty".