10605345750552 has 128 divisors (see below), whose sum is σ = 30414019184640. Its totient is φ = 3018809364480.

The previous prime is 10605345750551. The next prime is 10605345750553. The reversal of 10605345750552 is 25505754350601.

It is an interprime number because it is at equal distance from previous prime (10605345750551) and next prime (10605345750553).

It is a super-2 number, since 2×10605345750552² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605345750551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75058852 + ... + 75200012.

It is an arithmetic number, because the mean of its divisors is an integer number (237609524880).

Almost surely, 2^{10605345750552} is an apocalyptic number.

10605345750552 is a gapful number since it is divisible by the number (12) 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 10605345750552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207009592320).

10605345750552 is an abundant number, since it is smaller than the sum of its proper divisors (19808673434088).

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

10605345750552 is a wasteful number, since it uses less digits than its factorization.

10605345750552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142841 (or 142837 counting only the distinct ones).

The product of its (nonzero) digits is 3150000, while the sum is 48.

The spelling of 10605345750552 in words is "ten trillion, six hundred five billion, three hundred forty-five million, seven hundred fifty thousand, five hundred fifty-two".