1890387563904 has 384 divisors, whose sum is σ = 6593586554880. Its totient is φ = 508155310080.

The previous prime is 1890387563899. The next prime is 1890387563921. The reversal of 1890387563904 is 4093657830981.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11230249 + ... + 11397335.

It is an arithmetic number, because the mean of its divisors is an integer number (17170798320).

Almost surely, 2^{1890387563904} is an apocalyptic number.

1890387563904 is a gapful number since it is divisible by the number (14) 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 1890387563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296793277440).

1890387563904 is an abundant number, since it is smaller than the sum of its proper divisors (4703198990976).

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

1890387563904 is a wasteful number, since it uses less digits than its factorization.

1890387563904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167198 (or 167183 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1890387563904 in words is "one trillion, eight hundred ninety billion, three hundred eighty-seven million, five hundred sixty-three thousand, nine hundred four".