1035500366880 has 768 divisors, whose sum is σ = 4206687851520. Its totient is φ = 233017344000.

The previous prime is 1035500366821. The next prime is 1035500366891. The reversal of 1035500366880 is 886630055301.

1035500366880 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 500 + 3 + 6 + 68 + 80 = 666.

It is a super-3 number, since 3×1035500366880³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 601684420 + ... + 601686140.

It is an arithmetic number, because the mean of its divisors is an integer number (5477458140).

Almost surely, 2^{1035500366880} is an apocalyptic number.

1035500366880 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 1035500366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103343925760).

1035500366880 is an abundant number, since it is smaller than the sum of its proper divisors (3171187484640).

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

1035500366880 is a wasteful number, since it uses less digits than its factorization.

1035500366880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1035500366880 in words is "one trillion, thirty-five billion, five hundred million, three hundred sixty-six thousand, eight hundred eighty".