1035572249088 has 320 divisors, whose sum is σ = 3305013465600. Its totient is φ = 318266081280.

The previous prime is 1035572249083. The next prime is 1035572249099. The reversal of 1035572249088 is 8809422755301.

1035572249088 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 72 + 2 + 490 + 88 = 666.

It is a super-3 number, since 3×1035572249088³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1035572249083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181326553 + ... + 181332263.

It is an arithmetic number, because the mean of its divisors is an integer number (10328167080).

Almost surely, 2^{1035572249088} is an apocalyptic number.

1035572249088 is a gapful number since it is divisible by the number (18) 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 1035572249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652506732800).

1035572249088 is an abundant number, since it is smaller than the sum of its proper divisors (2269441216512).

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

1035572249088 is a wasteful number, since it uses less digits than its factorization.

1035572249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1035572249088 in words is "one trillion, thirty-five billion, five hundred seventy-two million, two hundred forty-nine thousand, eighty-eight".