1899940315680 has 2400 divisors, whose sum is σ = 8485752844800. Its totient is φ = 397434470400.

The previous prime is 1899940315643. The next prime is 1899940315681. The reversal of 1899940315680 is 865130499981.

1899940315680 is a `hidden beast` number, since 1 + 89 + 99 + 403 + 1 + 5 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1899940315681) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 61288397265 + ... + 61288397295.

It is an arithmetic number, because the mean of its divisors is an integer number (3535730352).

Almost surely, 2^{1899940315680} is an apocalyptic number.

1899940315680 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 1899940315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242876422400).

1899940315680 is an abundant number, since it is smaller than the sum of its proper divisors (6585812529120).

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

1899940315680 is a wasteful number, since it uses less digits than its factorization.

1899940315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1899940315680 in words is "one trillion, eight hundred ninety-nine billion, nine hundred forty million, three hundred fifteen thousand, six hundred eighty".