10753750425600 has 4032 divisors, whose sum is σ = 51357417914880. Its totient is φ = 2184944025600.

The previous prime is 10753750425581. The next prime is 10753750425601. The reversal of 10753750425600 is 652405735701.

It is a happy number.

10753750425600 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 37 + 5 + 0 + 4 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×10753750425600² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753750425601) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 151461273565 + ... + 151461273635.

It is an arithmetic number, because the mean of its divisors is an integer number (12737454840).

Almost surely, 2^{10753750425600} is an apocalyptic number.

10753750425600 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 10753750425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25678708957440).

10753750425600 is an abundant number, since it is smaller than the sum of its proper divisors (40603667489280).

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

10753750425600 is a wasteful number, since it uses less digits than its factorization.

10753750425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 10753750425600 in words is "ten trillion, seven hundred fifty-three billion, seven hundred fifty million, four hundred twenty-five thousand, six hundred".