15420315413152 has 96 divisors (see below), whose sum is σ = 34162455704832. Its totient is φ = 6798263814144.

The previous prime is 15420315413149. The next prime is 15420315413171. The reversal of 15420315413152 is 25131451302451.

It is a super-2 number, since 2×15420315413152² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5847508 + ... + 8064364.

It is an arithmetic number, because the mean of its divisors is an integer number (355858913592).

Almost surely, 2^{15420315413152} 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 15420315413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17081227852416).

15420315413152 is an abundant number, since it is smaller than the sum of its proper divisors (18742140291680).

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

15420315413152 is a wasteful number, since it uses less digits than its factorization.

15420315413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217630 (or 2217622 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 15420315413152 in words is "fifteen trillion, four hundred twenty billion, three hundred fifteen million, four hundred thirteen thousand, one hundred fifty-two".