1827495790848 has 864 divisors, whose sum is σ = 6913991884800. Its totient is φ = 450752200704.

The previous prime is 1827495790807. The next prime is 1827495790853. The reversal of 1827495790848 is 8480975947281.

1827495790848 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 4 + 9 + 579 + 0 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 314702761 + ... + 314708567.

Almost surely, 2^{1827495790848} is an apocalyptic number.

1827495790848 is a gapful number since it is divisible by the number (18) 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 1827495790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456995942400).

1827495790848 is an abundant number, since it is smaller than the sum of its proper divisors (5086496093952).

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

1827495790848 is a wasteful number, since it uses less digits than its factorization.

1827495790848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 1827495790848 in words is "one trillion, eight hundred twenty-seven billion, four hundred ninety-five million, seven hundred ninety thousand, eight hundred forty-eight".