10536091200 has 336 divisors, whose sum is σ = 38895040320. Its totient is φ = 2808691200.

The previous prime is 10536091193. The next prime is 10536091213. The reversal of 10536091200 is 219063501.

10536091200 is a `hidden beast` number, since 1 + 0 + 53 + 609 + 1 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×10536091200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3497695 + ... + 3500705.

Almost surely, 2^10536091200 is an apocalyptic number.

10536091200 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 10536091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447520160).

10536091200 is an abundant number, since it is smaller than the sum of its proper divisors (28358949120).

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

10536091200 is an frugal number, since it uses more digits than its factorization.

10536091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10536091200 in words is "ten billion, five hundred thirty-six million, ninety-one thousand, two hundred".