10113384758400 has 3456 divisors, whose sum is σ = 48511091341440. Its totient is φ = 1947392409600.

The previous prime is 10113384758387. The next prime is 10113384758443. The reversal of 10113384758400 is 485748331101.

10113384758400 is a `hidden beast` number, since 1 + 0 + 1 + 133 + 8 + 475 + 8 + 40 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 43405084684 + ... + 43405084916.

It is an arithmetic number, because the mean of its divisors is an integer number (14036774115).

Almost surely, 2^{10113384758400} is an apocalyptic number.

10113384758400 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 10113384758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24255545670720).

10113384758400 is an abundant number, since it is smaller than the sum of its proper divisors (38397706583040).

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

10113384758400 is a wasteful number, since it uses less digits than its factorization.

10113384758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 321 counting only the distinct ones).

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

The spelling of 10113384758400 in words is "ten trillion, one hundred thirteen billion, three hundred eighty-four million, seven hundred fifty-eight thousand, four hundred".