1036153678560 has 1152 divisors, whose sum is σ = 4482671155200. Its totient is φ = 197757665280.

The previous prime is 1036153678543. The next prime is 1036153678631. The reversal of 1036153678560 is 658763516301.

It is a happy number.

It is a super-3 number, since 3×1036153678560³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 803842396 + ... + 803843684.

It is an arithmetic number, because the mean of its divisors is an integer number (3891207600).

Almost surely, 2^{1036153678560} is an apocalyptic number.

1036153678560 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 1036153678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241335577600).

1036153678560 is an abundant number, since it is smaller than the sum of its proper divisors (3446517476640).

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

1036153678560 is a wasteful number, since it uses less digits than its factorization.

1036153678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 1036153678560 in words is "one trillion, thirty-six billion, one hundred fifty-three million, six hundred seventy-eight thousand, five hundred sixty".