10118794400 has 576 divisors, whose sum is σ = 31702720896. Its totient is φ = 3122380800.

The previous prime is 10118794369. The next prime is 10118794403. The reversal of 10118794400 is 449781101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118794403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235320779 + ... + 235320821.

It is an arithmetic number, because the mean of its divisors is an integer number (55039446).

Almost surely, 2^10118794400 is an apocalyptic number.

10118794400 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 10118794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851360448).

10118794400 is an abundant number, since it is smaller than the sum of its proper divisors (21583926496).

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

10118794400 is a wasteful number, since it uses less digits than its factorization.

10118794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 10118794400 in words is "ten billion, one hundred eighteen million, seven hundred ninety-four thousand, four hundred".