1036898772000 has 1536 divisors, whose sum is σ = 4336723722240. Its totient is φ = 210780979200.

The previous prime is 1036898771981. The next prime is 1036898772011. The reversal of 1036898772000 is 2778986301.

It is a super-3 number, since 3×1036898772000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4567835887 + ... + 4567836113.

It is an arithmetic number, because the mean of its divisors is an integer number (2823387840).

Almost surely, 2^{1036898772000} is an apocalyptic number.

1036898772000 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 1036898772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168361861120).

1036898772000 is an abundant number, since it is smaller than the sum of its proper divisors (3299824950240).

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

1036898772000 is a wasteful number, since it uses less digits than its factorization.

1036898772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 1036898772000 in words is "one trillion, thirty-six billion, eight hundred ninety-eight million, seven hundred seventy-two thousand".