10874865600 has 210 divisors, whose sum is σ = 39973746824. Its totient is φ = 2899929600.

The previous prime is 10874865587. The next prime is 10874865607. The reversal of 10874865600 is 656847801.

It is a happy number.

10874865600 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 86 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10874865607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 87645 + ... + 171555.

Almost surely, 2^10874865600 is an apocalyptic number.

10874865600 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 10874865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19986873412).

10874865600 is an abundant number, since it is smaller than the sum of its proper divisors (29098881224).

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

10874865600 is an equidigital number, since it uses as much as digits as its factorization.

10874865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83945 (or 83921 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10874865600 in words is "ten billion, eight hundred seventy-four million, eight hundred sixty-five thousand, six hundred".