1395845498880 has 1152 divisors, whose sum is σ = 5787934064640. Its totient is φ = 316036546560.

The previous prime is 1395845498809. The next prime is 1395845498891. The reversal of 1395845498880 is 888945485931.

1395845498880 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 8 + 454 + 98 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 1395845498799 and 1395845498808.

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, 2212116165 + ... + 2212116795.

It is an arithmetic number, because the mean of its divisors is an integer number (5024248320).

Almost surely, 2^{1395845498880} is an apocalyptic number.

1395845498880 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 1395845498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893967032320).

1395845498880 is an abundant number, since it is smaller than the sum of its proper divisors (4392088565760).

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

1395845498880 is an equidigital number, since it uses as much as digits as its factorization.

1395845498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 1395845498880 in words is "one trillion, three hundred ninety-five billion, eight hundred forty-five million, four hundred ninety-eight thousand, eight hundred eighty".