1902811772160 has 1296 divisors, whose sum is σ = 7628816417040. Its totient is φ = 451480780800.

The previous prime is 1902811772083. The next prime is 1902811772167. The reversal of 1902811772160 is 612771182091.

It is a happy number.

1902811772160 is a `hidden beast` number, since 1 + 90 + 281 + 1 + 77 + 216 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8466944256 + 1894344827904 = 92016^2 + 1376352^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

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 (1902811772167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3166075860 + ... + 3166076460.

Almost surely, 2^{1902811772160} is an apocalyptic number.

1902811772160 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 1902811772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814408208520).

1902811772160 is an abundant number, since it is smaller than the sum of its proper divisors (5726004644880).

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

1902811772160 is an frugal number, since it uses more digits than its factorization.

1902811772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 1902811772160 in words is "one trillion, nine hundred two billion, eight hundred eleven million, seven hundred seventy-two thousand, one hundred sixty".