1827270815040 has 672 divisors, whose sum is σ = 7450174218240. Its totient is φ = 406118707200.

The previous prime is 1827270815023. The next prime is 1827270815047. The reversal of 1827270815040 is 405180727281.

1827270815040 is a `hidden beast` number, since 1 + 8 + 2 + 72 + 70 + 8 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827270815047) 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, 18610557 + ... + 18708483.

Almost surely, 2^{1827270815040} is an apocalyptic number.

1827270815040 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 1827270815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725087109120).

1827270815040 is an abundant number, since it is smaller than the sum of its proper divisors (5622903403200).

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

1827270815040 is a wasteful number, since it uses less digits than its factorization.

1827270815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98011 (or 97998 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 1827270815040 in words is "one trillion, eight hundred twenty-seven billion, two hundred seventy million, eight hundred fifteen thousand, forty".