351142270560 has 384 divisors, whose sum is σ = 1317379593600. Its totient is φ = 88128331776.

The previous prime is 351142270559. The next prime is 351142270561. The reversal of 351142270560 is 65072241153.

351142270560 is a `hidden beast` number, since 3 + 5 + 1 + 1 + 4 + 22 + 70 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (351142270559) and next prime (351142270561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351142270561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5919126 + ... + 5978154.

It is an arithmetic number, because the mean of its divisors is an integer number (3430676025).

Almost surely, 2^351142270560 is an apocalyptic number.

351142270560 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 351142270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658689796800).

351142270560 is an abundant number, since it is smaller than the sum of its proper divisors (966237323040).

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

351142270560 is an equidigital number, since it uses as much as digits as its factorization.

351142270560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59082 (or 59056 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 351142270560 in words is "three hundred fifty-one billion, one hundred forty-two million, two hundred seventy thousand, five hundred sixty".