10113854400 has 1176 divisors, whose sum is σ = 43375661280. Its totient is φ = 2299207680.

The previous prime is 10113854393. The next prime is 10113854419. The reversal of 10113854400 is 445831101.

It is a happy number.

10113854400 is a `hidden beast` number, since 1 + 0 + 113 + 8 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 348753586 + ... + 348753614.

Almost surely, 2^10113854400 is an apocalyptic number.

10113854400 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 10113854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21687830640).

10113854400 is an abundant number, since it is smaller than the sum of its proper divisors (33261806880).

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

10113854400 is a wasteful number, since it uses less digits than its factorization.

10113854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10113854400 in words is "ten billion, one hundred thirteen million, eight hundred fifty-four thousand, four hundred".