1990025038080 has 1152 divisors, whose sum is σ = 7422773245440. Its totient is φ = 504511856640.

The previous prime is 1990025038063. The next prime is 1990025038123. The reversal of 1990025038080 is 808305200991.

It is a happy number.

1990025038080 is a `hidden beast` number, since 19 + 9 + 0 + 0 + 250 + 380 + 8 + 0 = 666.

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

It is a super-3 number, since 3×1990025038080³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311010464 + ... + 10311010656.

Almost surely, 2^{1990025038080} is an apocalyptic number.

1990025038080 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 1990025038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711386622720).

1990025038080 is an abundant number, since it is smaller than the sum of its proper divisors (5432748207360).

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

1990025038080 is a wasteful number, since it uses less digits than its factorization.

1990025038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1990025038080 in words is "one trillion, nine hundred ninety billion, twenty-five million, thirty-eight thousand, eighty".