10036765894320 has 1280 divisors, whose sum is σ = 40216625971200. Its totient is φ = 2276854272000.

The previous prime is 10036765894307. The next prime is 10036765894339. The reversal of 10036765894320 is 2349856763001.

10036765894320 is a `hidden beast` number, since 1 + 0 + 0 + 36 + 7 + 6 + 589 + 4 + 3 + 20 = 666.

10036765894320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 5393210190 + ... + 5393212050.

It is an arithmetic number, because the mean of its divisors is an integer number (31419239040).

It is a 1-persistent number, because it is pandigital, but 2⋅10036765894320 = 20073531788640 is not.

Almost surely, 2^{10036765894320} is an apocalyptic number.

10036765894320 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 10036765894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108312985600).

10036765894320 is an abundant number, since it is smaller than the sum of its proper divisors (30179860076880).

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

10036765894320 is a wasteful number, since it uses less digits than its factorization.

10036765894320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10036765894320 in words is "ten trillion, thirty-six billion, seven hundred sixty-five million, eight hundred ninety-four thousand, three hundred twenty".