10345547520 has 864 divisors, whose sum is σ = 45457251840. Its totient is φ = 2110095360.

The previous prime is 10345547497. The next prime is 10345547539. The reversal of 10345547520 is 2574554301.

10345547520 is a `hidden beast` number, since 1 + 0 + 34 + 554 + 75 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94913226 + ... + 94913334.

It is an arithmetic number, because the mean of its divisors is an integer number (52612560).

Almost surely, 2^10345547520 is an apocalyptic number.

10345547520 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 10345547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22728625920).

10345547520 is an abundant number, since it is smaller than the sum of its proper divisors (35111704320).

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

10345547520 is a wasteful number, since it uses less digits than its factorization.

10345547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

It can be divided in two parts, 103455 and 47520, that added together give a triangular number (150975 = T₅₄₉).

The spelling of 10345547520 in words is "ten billion, three hundred forty-five million, five hundred forty-seven thousand, five hundred twenty".