1008020090880 has 1040 divisors, whose sum is σ = 4051249465824. Its totient is φ = 237604700160.

The previous prime is 1008020090873. The next prime is 1008020090887. The reversal of 1008020090880 is 880900208001.

It is an interprime number because it is at equal distance from previous prime (1008020090873) and next prime (1008020090887).

It is a super-2 number, since 2×1008020090880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008020090887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 675163414 + ... + 675164906.

Almost surely, 2^{1008020090880} is an apocalyptic number.

1008020090880 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 1008020090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025624732912).

1008020090880 is an abundant number, since it is smaller than the sum of its proper divisors (3043229374944).

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

1008020090880 is a wasteful number, since it uses less digits than its factorization.

1008020090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 1008020090880 its reverse (880900208001), we get a palindrome (1888920298881).

The spelling of 1008020090880 in words is "one trillion, eight billion, twenty million, ninety thousand, eight hundred eighty".