351215515120 has 80 divisors (see below), whose sum is σ = 827983880640. Its totient is φ = 138524608512.

The previous prime is 351215515117. The next prime is 351215515129. The reversal of 351215515120 is 21515512153.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×351215515120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351215515129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34269837 + ... + 34280083.

It is an arithmetic number, because the mean of its divisors is an integer number (10349798508).

Almost surely, 2^351215515120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351215515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413991940320).

351215515120 is an abundant number, since it is smaller than the sum of its proper divisors (476768365520).

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

351215515120 is a wasteful number, since it uses less digits than its factorization.

351215515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16202 (or 16196 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 351215515120 in words is "three hundred fifty-one billion, two hundred fifteen million, five hundred fifteen thousand, one hundred twenty".