9020734542288 has 1280 divisors, whose sum is σ = 33197875200000. Its totient is φ = 2333695795200.

The previous prime is 9020734542283. The next prime is 9020734542361. The reversal of 9020734542288 is 8822454370209.

9020734542288 is a `hidden beast` number, since 9 + 0 + 2 + 0 + 73 + 4 + 542 + 28 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9020734542283) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 25847376738 + ... + 25847377086.

It is an arithmetic number, because the mean of its divisors is an integer number (25935840000).

Almost surely, 2^{9020734542288} is an apocalyptic number.

9020734542288 is a gapful number since it is divisible by the number (98) 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 9020734542288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598937600000).

9020734542288 is an abundant number, since it is smaller than the sum of its proper divisors (24177140657712).

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

9020734542288 is a wasteful number, since it uses less digits than its factorization.

9020734542288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 9020734542288 in words is "nine trillion, twenty billion, seven hundred thirty-four million, five hundred forty-two thousand, two hundred eighty-eight".