1088292506652 has 192 divisors, whose sum is σ = 3203296051200. Its totient is φ = 317161889280.

The previous prime is 1088292506611. The next prime is 1088292506671. The reversal of 1088292506652 is 2566052928801.

1088292506652 is a `hidden beast` number, since 1 + 0 + 8 + 82 + 9 + 2 + 506 + 6 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779624 + ... + 2311632.

It is an arithmetic number, because the mean of its divisors is an integer number (16683833600).

Almost surely, 2^{1088292506652} is an apocalyptic number.

1088292506652 is a gapful number since it is divisible by the number (12) 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 1088292506652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601648025600).

1088292506652 is an abundant number, since it is smaller than the sum of its proper divisors (2115003544548).

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

1088292506652 is a wasteful number, since it uses less digits than its factorization.

1088292506652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532113 (or 532105 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1088292506652 in words is "one trillion, eighty-eight billion, two hundred ninety-two million, five hundred six thousand, six hundred fifty-two".