10113761692800 has 1152 divisors, whose sum is σ = 40677637536000. Its totient is φ = 2450650890240.

The previous prime is 10113761692763. The next prime is 10113761692849. The reversal of 10113761692800 is 829616731101.

10113761692800 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 7 + 616 + 9 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 724111417 + ... + 724125383.

It is an arithmetic number, because the mean of its divisors is an integer number (35310449250).

Almost surely, 2^{10113761692800} is an apocalyptic number.

10113761692800 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 10113761692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338818768000).

10113761692800 is an abundant number, since it is smaller than the sum of its proper divisors (30563875843200).

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

10113761692800 is a wasteful number, since it uses less digits than its factorization.

10113761692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14063 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10113761692800 in words is "ten trillion, one hundred thirteen billion, seven hundred sixty-one million, six hundred ninety-two thousand, eight hundred".