185253673040 has 80 divisors (see below), whose sum is σ = 435009831696. Its totient is φ = 73366118400.

The previous prime is 185253673021. The next prime is 185253673043. The reversal of 185253673040 is 40376352581.

It can be written as a sum of positive squares in 8 ways, for example, as 123121216 + 185130551824 = 11096^2 + 430268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×185253673040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 185253672982 and 185253673000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185253673043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307670 + ... + 3363210.

Almost surely, 2^185253673040 is an apocalyptic number.

185253673040 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 185253673040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217504915848).

185253673040 is an abundant number, since it is smaller than the sum of its proper divisors (249756158656).

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

185253673040 is a wasteful number, since it uses less digits than its factorization.

185253673040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55968 (or 55962 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 185253673040 in words is "one hundred eighty-five billion, two hundred fifty-three million, six hundred seventy-three thousand, forty".