10538035200 has 1296 divisors, whose sum is σ = 49165290720. Its totient is φ = 2189721600.

The previous prime is 10538035147. The next prime is 10538035271. The reversal of 10538035200 is 253083501.

10538035200 is a `hidden beast` number, since 10 + 53 + 80 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×10538035200² (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 107 ways as a sum of consecutive naturals, for example, 958003195 + ... + 958003205.

Almost surely, 2^10538035200 is an apocalyptic number.

10538035200 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 10538035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24582645360).

10538035200 is an abundant number, since it is smaller than the sum of its proper divisors (38627255520).

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

10538035200 is an equidigital number, since it uses as much as digits as its factorization.

10538035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10538035200 in words is "ten billion, five hundred thirty-eight million, thirty-five thousand, two hundred".