16152948720000 has 2240 divisors, whose sum is σ = 63192333980160. Its totient is φ = 4106350080000.

The previous prime is 16152948719983. The next prime is 16152948720011. The reversal of 16152948720000 is 2784925161.

16152948720000 is a `hidden beast` number, since 1 + 61 + 529 + 48 + 7 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 194613839959 + ... + 194613840041.

It is an arithmetic number, because the mean of its divisors is an integer number (28210863384).

Almost surely, 2^{16152948720000} is an apocalyptic number.

16152948720000 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 16152948720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31596166990080).

16152948720000 is an abundant number, since it is smaller than the sum of its proper divisors (47039385260160).

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

16152948720000 is an frugal number, since it uses more digits than its factorization.

16152948720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16152948720000 in words is "sixteen trillion, one hundred fifty-two billion, nine hundred forty-eight million, seven hundred twenty thousand".