345560267520 has 432 divisors, whose sum is σ = 1363321526112. Its totient is φ = 80056811520.

The previous prime is 345560267509. The next prime is 345560267551. The reversal of 345560267520 is 25762065543.

345560267520 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 60 + 2 + 67 + 520 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478055 + ... + 2613785.

It is an arithmetic number, because the mean of its divisors is an integer number (3155836866).

Almost surely, 2^345560267520 is an apocalyptic number.

345560267520 is a gapful number since it is divisible by the number (30) 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 345560267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681660763056).

345560267520 is an abundant number, since it is smaller than the sum of its proper divisors (1017761258592).

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

345560267520 is a wasteful number, since it uses less digits than its factorization.

345560267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135788 (or 135771 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 345560267520 in words is "three hundred forty-five billion, five hundred sixty million, two hundred sixty-seven thousand, five hundred twenty".