1036153213920 has 1536 divisors, whose sum is σ = 4326690816000. Its totient is φ = 228895580160.

The previous prime is 1036153213903. The next prime is 1036153213933. The reversal of 1036153213920 is 293123516301.

1036153213920 is a `hidden beast` number, since 1 + 0 + 3 + 615 + 3 + 2 + 1 + 39 + 2 + 0 = 666.

It is a super-3 number, since 3×1036153213920³ (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 (36).

It is a congruent number.

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, 2823305577 + ... + 2823305943.

It is an arithmetic number, because the mean of its divisors is an integer number (2816856000).

Almost surely, 2^{1036153213920} is an apocalyptic number.

1036153213920 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 1036153213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163345408000).

1036153213920 is an abundant number, since it is smaller than the sum of its proper divisors (3290537602080).

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

1036153213920 is a wasteful number, since it uses less digits than its factorization.

1036153213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 1036153213920 in words is "one trillion, thirty-six billion, one hundred fifty-three million, two hundred thirteen thousand, nine hundred twenty".