10526745600 has 792 divisors, whose sum is σ = 44190439488. Its totient is φ = 2344550400.

The previous prime is 10526745599. The next prime is 10526745653. The reversal of 10526745600 is 654762501.

It is a happy number.

10526745600 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 7 + 45 + 600 = 666.

It is a super-2 number, since 2×10526745600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98380747 + ... + 98380853.

Almost surely, 2^10526745600 is an apocalyptic number.

10526745600 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 10526745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22095219744).

10526745600 is an abundant number, since it is smaller than the sum of its proper divisors (33663693888).

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

10526745600 is a wasteful number, since it uses less digits than its factorization.

10526745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10526745600 in words is "ten billion, five hundred twenty-six million, seven hundred forty-five thousand, six hundred".