10086749400 has 384 divisors, whose sum is σ = 40752391680. Its totient is φ = 2002821120.

The previous prime is 10086749389. The next prime is 10086749401. The reversal of 10086749400 is 494768001.

It is a happy number.

10086749400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086749401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 922767 + ... + 933633.

It is an arithmetic number, because the mean of its divisors is an integer number (106126020).

Almost surely, 2^10086749400 is an apocalyptic number.

10086749400 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 10086749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376195840).

10086749400 is an abundant number, since it is smaller than the sum of its proper divisors (30665642280).

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

10086749400 is a wasteful number, since it uses less digits than its factorization.

10086749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10923 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10086749400 in words is "ten billion, eighty-six million, seven hundred forty-nine thousand, four hundred".