1659890778000 has 1920 divisors, whose sum is σ = 7235401904640. Its totient is φ = 323282534400.

The previous prime is 1659890777989. The next prime is 1659890778011. The reversal of 1659890778000 is 8770989561.

It is an interprime number because it is at equal distance from previous prime (1659890777989) and next prime (1659890778011).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3833465784 + ... + 3833466216.

It is an arithmetic number, because the mean of its divisors is an integer number (3768438492).

Almost surely, 2^{1659890778000} is an apocalyptic number.

1659890778000 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 1659890778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617700952320).

1659890778000 is an abundant number, since it is smaller than the sum of its proper divisors (5575511126640).

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

1659890778000 is a wasteful number, since it uses less digits than its factorization.

1659890778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 1659890778000 in words is "one trillion, six hundred fifty-nine billion, eight hundred ninety million, seven hundred seventy-eight thousand".