1072146216060 has 72 divisors (see below), whose sum is σ = 3277002704976. Its totient is φ = 283723165440.

The previous prime is 1072146216019. The next prime is 1072146216067. The reversal of 1072146216060 is 606126412701.

1072146216060 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 1 + 46 + 2 + 1 + 606 + 0 = 666.

It is a super-2 number, since 2×1072146216060² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072146216067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22710649 + ... + 22757808.

It is an arithmetic number, because the mean of its divisors is an integer number (45513926458).

Almost surely, 2^{1072146216060} is an apocalyptic number.

1072146216060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072146216060 is an abundant number, since it is smaller than the sum of its proper divisors (2204856488916).

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

1072146216060 is a wasteful number, since it uses less digits than its factorization.

1072146216060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45468603 (or 45468598 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1072146216060 in words is "one trillion, seventy-two billion, one hundred forty-six million, two hundred sixteen thousand, sixty".