1020089624544 has 288 divisors, whose sum is σ = 3138768753120. Its totient is φ = 313057345536.

The previous prime is 1020089624539. The next prime is 1020089624549. The reversal of 1020089624544 is 4454269800201.

It is a happy number.

1020089624544 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 89 + 6 + 24 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (1020089624539) and next prime (1020089624549).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1020089624544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020089624549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90036672 + ... + 90048000.

It is an arithmetic number, because the mean of its divisors is an integer number (10898502615).

Almost surely, 2^{1020089624544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020089624544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569384376560).

1020089624544 is an abundant number, since it is smaller than the sum of its proper divisors (2118679128576).

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

1020089624544 is a wasteful number, since it uses less digits than its factorization.

1020089624544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762 (or 11751 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1020089624544 in words is "one trillion, twenty billion, eighty-nine million, six hundred twenty-four thousand, five hundred forty-four".