14920215573120 has 1536 divisors, whose sum is σ = 57821374195200. Its totient is φ = 3249546854400.

The previous prime is 14920215573061. The next prime is 14920215573139. The reversal of 14920215573120 is 2137551202941.

It is a super-2 number, since 2×14920215573120² (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 191 ways as a sum of consecutive naturals, for example, 20081043469 + ... + 20081044211.

It is an arithmetic number, because the mean of its divisors is an integer number (37644123825).

Almost surely, 2^{14920215573120} is an apocalyptic number.

14920215573120 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 14920215573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28910687097600).

14920215573120 is an abundant number, since it is smaller than the sum of its proper divisors (42901158622080).

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

14920215573120 is a wasteful number, since it uses less digits than its factorization.

14920215573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 14920215573120 in words is "fourteen trillion, nine hundred twenty billion, two hundred fifteen million, five hundred seventy-three thousand, one hundred twenty".