15720122427408 has 960 divisors, whose sum is σ = 53981598528000. Its totient is φ = 4176292184064.

The previous prime is 15720122427407. The next prime is 15720122427433. The reversal of 15720122427408 is 80472422102751.

15720122427408 is a `hidden beast` number, since 1 + 572 + 0 + 1 + 2 + 2 + 4 + 2 + 74 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (15720122427407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23854510183 + ... + 23854510841.

It is an arithmetic number, because the mean of its divisors is an integer number (56230831800).

Almost surely, 2^{15720122427408} is an apocalyptic number.

15720122427408 is a gapful number since it is divisible by the number (18) 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 15720122427408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26990799264000).

15720122427408 is an abundant number, since it is smaller than the sum of its proper divisors (38261476100592).

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

15720122427408 is a wasteful number, since it uses less digits than its factorization.

15720122427408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 15720122427408 in words is "fifteen trillion, seven hundred twenty billion, one hundred twenty-two million, four hundred twenty-seven thousand, four hundred eight".