1810102812672 has 1632 divisors, whose sum is σ = 6885316915200. Its totient is φ = 416179814400.

The previous prime is 1810102812671. The next prime is 1810102812689. The reversal of 1810102812672 is 2762182010181.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1810102812672.

It is not an unprimeable number, because it can be changed into a prime (1810102812671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58390413297 + ... + 58390413327.

Almost surely, 2^{1810102812672} is an apocalyptic number.

1810102812672 is a gapful number since it is divisible by the number (12) 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 1810102812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442658457600).

1810102812672 is an abundant number, since it is smaller than the sum of its proper divisors (5075214102528).

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

1810102812672 is a wasteful number, since it uses less digits than its factorization.

1810102812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 1810102812672 in words is "one trillion, eight hundred ten billion, one hundred two million, eight hundred twelve thousand, six hundred seventy-two".