890990530560 has 1664 divisors, whose sum is σ = 3780829301760. Its totient is φ = 196821909504.

The previous prime is 890990530523. The next prime is 890990530567. The reversal of 890990530560 is 65035099098.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a junction number, because it is equal to n+sod(n) for n = 890990530497 and 890990530506.

It is not an unprimeable number, because it can be changed into a prime (890990530567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2810695522 + ... + 2810695838.

Almost surely, 2^890990530560 is an apocalyptic number.

890990530560 is a gapful number since it is divisible by the number (80) 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 890990530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890414650880).

890990530560 is an abundant number, since it is smaller than the sum of its proper divisors (2889838771200).

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

890990530560 is a wasteful number, since it uses less digits than its factorization.

890990530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 890990530560 in words is "eight hundred ninety billion, nine hundred ninety million, five hundred thirty thousand, five hundred sixty".