10345542522552 has 192 divisors, whose sum is σ = 30775933450080. Its totient is φ = 3244628938752.

The previous prime is 10345542522463. The next prime is 10345542522583. The reversal of 10345542522552 is 25522524554301.

10345542522552 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 5 + 5 + 42 + 52 + 2 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10345542522498 and 10345542522507.

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 47 ways as a sum of consecutive naturals, for example, 107457028 + ... + 107553260.

Almost surely, 2^{10345542522552} is an apocalyptic number.

10345542522552 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 10345542522552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15387966725040).

10345542522552 is an abundant number, since it is smaller than the sum of its proper divisors (20430390927528).

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

10345542522552 is a wasteful number, since it uses less digits than its factorization.

10345542522552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99524 (or 99508 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 10345542522552 in words is "ten trillion, three hundred forty-five billion, five hundred forty-two million, five hundred twenty-two thousand, five hundred fifty-two".