1072110606600 has 384 divisors, whose sum is σ = 3869238067200. Its totient is φ = 242687692800.

The previous prime is 1072110606563. The next prime is 1072110606653. The reversal of 1072110606600 is 66060112701.

1072110606600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072110606600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14211781 + ... + 14287019.

It is an arithmetic number, because the mean of its divisors is an integer number (10076140800).

Almost surely, 2^{1072110606600} is an apocalyptic number.

1072110606600 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 1072110606600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934619033600).

1072110606600 is an abundant number, since it is smaller than the sum of its proper divisors (2797127460600).

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

1072110606600 is a wasteful number, since it uses less digits than its factorization.

1072110606600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75413 (or 75404 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 1072110606600 in words is "one trillion, seventy-two billion, one hundred ten million, six hundred six thousand, six hundred".