1930382480880 has 1600 divisors, whose sum is σ = 8347817491200. Its totient is φ = 403428999168.

The previous prime is 1930382480861. The next prime is 1930382480881. The reversal of 1930382480880 is 880842830391.

It is a happy number.

1930382480880 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 3 + 82 + 480 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930382480881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6089534482 + ... + 6089534798.

It is an arithmetic number, because the mean of its divisors is an integer number (5217385932).

Almost surely, 2^{1930382480880} is an apocalyptic number.

1930382480880 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 1930382480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173908745600).

1930382480880 is an abundant number, since it is smaller than the sum of its proper divisors (6417435010320).

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

1930382480880 is a wasteful number, since it uses less digits than its factorization.

1930382480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1930382480880 in words is "one trillion, nine hundred thirty billion, three hundred eighty-two million, four hundred eighty thousand, eight hundred eighty".