1890164465280 has 1152 divisors, whose sum is σ = 8117900144640. Its totient is φ = 396804096000.

The previous prime is 1890164465251. The next prime is 1890164465291. The reversal of 1890164465280 is 825644610981.

1890164465280 is a `hidden beast` number, since 1 + 8 + 90 + 16 + 4 + 465 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1642192705 + ... + 1642193855.

It is an arithmetic number, because the mean of its divisors is an integer number (7046788320).

Almost surely, 2^{1890164465280} is an apocalyptic number.

1890164465280 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 1890164465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058950072320).

1890164465280 is an abundant number, since it is smaller than the sum of its proper divisors (6227735679360).

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

1890164465280 is a wasteful number, since it uses less digits than its factorization.

1890164465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1890164465280 in words is "one trillion, eight hundred ninety billion, one hundred sixty-four million, four hundred sixty-five thousand, two hundred eighty".